nulliparous, medical term for not having childeren whether by choice or by infertility.

There is the word nulliparous, which is a medical term for not having children (whether by choice or by infertility).

Wordnik defines the adjective as:

nulliparous (adj.) Of the condition of a nullipara.

while nullipara is defined as:

nullipara (noun) obstetrics A woman who has never given birth.

This is not a word you would encounter very often, and other options (like childless) would usually be more appropriate for everyday conversation.