Sok tapasztalatom van.

Tapasztalatom = tapasztalat + -om

• tapasztalat = experience
• -om = my

So tapasztalatom literally means my experience.

The ending is not just -m here because Hungarian often inserts a vowel in possessive endings. Since tapasztalat is a back-vowel word and ends in a consonant, the 1st person singular possessive form becomes -om.

So:

• tapasztalat = experience
• tapasztalatom = my experience

Hungarian usually does not express possession with a direct equivalent of the English verb to have.

Instead, it uses a structure that is closer to:

• There is my experience
  or more naturally:
• My experience exists

So Sok tapasztalatom van is literally something like Much experience of mine exists, but in normal English we say I have a lot of experience.

This is a very common Hungarian pattern:

• Könyvem van. = I have a book.
• Időm van. = I have time.
• Sok tapasztalatom van. = I have a lot of experience.

Because van here agrees with the thing possessed, not with the possessor.

In this sentence, the possessed thing is tapasztalatom, which is singular, so Hungarian uses van.

That can feel strange to an English speaker, because English would focus on I have. Hungarian is built differently.

Compare:

• Könyvem van. = I have a book.
• Könyveim vannak. = I have books.

Notice that:

• singular possessed thing → van
• plural possessed thing → vannak

So in Sok tapasztalatom van, the verb is singular because tapasztalatom is singular in form.

Because Hungarian does not need it here.

The idea of my is already built into tapasztalatom, so the possessor is clear without adding a separate pronoun.

That is why Sok tapasztalatom van already means I have a lot of experience.

If you want extra emphasis or contrast, you can add nekem:

• Nekem sok tapasztalatom van.

This means something like:

• I have a lot of experience
• or with contrast: I, on the other hand, have a lot of experience

So nekem is optional unless you want emphasis.

Because after quantity words like sok, Hungarian usually keeps the noun in the singular.

This is very different from English.

English:

• many books
• many experiences

Hungarian:

• sok könyv
• sok tapasztalat

And with possession:

• sok könyvem
• sok tapasztalatom

So even though English might suggest a plural idea, Hungarian normally uses the singular after sok.

That is why Sok tapasztalatom van is the normal form.

No. Sok and nagyon do different jobs.

• sok = much, many, a lot of
  It goes with nouns.
• nagyon = very
  It goes with adjectives and adverbs.

So:

• sok tapasztalatom van = I have a lot of experience
• nagyon tapasztalt vagyok = I am very experienced

You cannot normally say nagyon tapasztalatom van.

Because sok already acts as the determiner.

In Hungarian, you normally say:

• sok tapasztalat
• sok idő
• sok pénz

not:

• egy sok tapasztalat

and not usually:

• a sok tapasztalat unless you mean a specific previously known set, such as the many experiences.

So in this sentence, no article is needed.

The given order, Sok tapasztalatom van, is the most natural neutral way to say it.

Hungarian word order is flexible, but different orders change emphasis.

For example:

• Sok tapasztalatom van.
  Neutral: I have a lot of experience.

• Nekem sok tapasztalatom van.
  Emphasis on I or contrast with someone else.

• Tapasztalatom van.
  Emphasis on the fact that what I have is experience.

So yes, Hungarian word order can change, but for a learner, the original sentence is the best standard version to use.

It is a noun form.

• tapasztalat = experience
• tapasztalatom = my experience

It is not a verb.

This matters because there is also a verb tapasztal = to experience, and a form like tapasztalom means I experience it.

So:

• tapasztalatom = my experience
• tapasztalom = I experience it

They look similar, but they are completely different grammatically.

Yes, Sok tapasztalatom van is completely natural and idiomatic.

It is a standard, everyday way to say that you have a lot of experience.

Depending on context, Hungarian speakers might also say things like:

• Nagy tapasztalatom van ebben. = I have great experience in this.
• Sokat tapasztaltam. = I have experienced a lot.
• Tapasztalt vagyok. = I am experienced.

But the original sentence is perfectly normal and very useful.