I’m curious if there’s a name to the belief I have. I wouldn’t exactly call it atheist, though i generally lean that way, but I wouldn’t call it non-theist. The thing is, I just plain don’t care if God exists or not. They could, or they couldn’t, it really has no bearing on how I live my life. For that reason along I think I go in the atheist camp, but I always thought that was used to describe people who don’t think he exists.
Apatheism
An apatheist is someone who is not interested in accepting or rejecting any claims that gods do exist or do not exist. The existence of a god or gods is not rejected, but may be designated irrelevant.