General "nothing":
* Pa gen anyen: This is the most common and literal translation. It means "not have anything."
* Nan rien: This is a bit more formal and means "in nothing."
* P'ap genyen: This means "there won't be anything."
Emphasis on "nothing at all":
* Pa gen anyen ditou: This means "not have anything at all."
* P'ap genyen ditou: This means "there won't be anything at all."
In response to a question:
* Non: This simply means "no."
* Non, anyen: This means "no, nothing."
The best way to choose the right phrase depends on the specific situation.