Learn German: Nein, hier ist leider kein Handy. - No, unfortunately there is no cellphone here.

In German, when you want to negate a noun (like saying "not a cellphone" or "no cellphone"), you use a form of kein. We use nicht when we want to negate a verb or an adjective.

Why is it exactly kein and not keine?

The ending of the negative article depends on the noun's gender. The word for cellphone is neuter (das Handy). Because it is in the nominative case here (used with the verb ist), the neuter form is simply kein. If we were negating a feminine noun like die Tasche (the bag), it would be keine Tasche.

The English translation says "there is", but the German sentence doesn't have a word for "there". Why?

English uses "there is" as a dummy phrase to talk about something's existence. German just says "here is" (hier ist). So, "there is no cellphone here" translates more directly as "here is unfortunately no cellphone" (hier ist leider kein Handy).

Why does the verb ist come right after hier?

In German statements, the verb must always take the second position. Words like ja (yes) and nein (no) at the beginning of a sentence are separated by a comma and don't count towards this word order. The first position of the actual sentence is hier, so the verb ist must be in position two.