If you're overly concerned with yourself, including your own feelings and thoughts, you're self-absorbed. Self-absorbed people don't think much about how others are feeling.
Your self-absorbed acquaintance Isn't likely to ask you sincerely how you're doing today, because he's too busy thinking about himself. And a self-absorbed driver who gets in a fender bender might rush to see if her car is scratched rather than checking to make sure her passenger is okay. Self-absorbed dates from the late 18th century, from self and absorbed, "engrossed mentally."