Rich the Kid's Wife Files for Divorce

3:55 PM -- Rich the Kid and Antonette have two kids together -- ages 1 and 2. She's asking for full physical custody of their two children to give him visitation rights and joint legal custody. She wants spousal support as well.

Rich the Kid is headed to divorce court ... but the details are super sketchy.

We picked up a petition Wednesday filed by Antonette Willis against Dimitri Roger ... that's the government name of Rich the Kid.

There have been rumors he cheated on her ... his wife actually put him on blast on social media, claiming he was messing around with Blac Chyna and India Love.

The wife also accused Rich the Kid in 2016 of domestic violence.