People value intelligence and will apply that label to themselves even if it may not be true. It's a hard thing to measure though IQ does it reasonably well. To those who have a high IQ: what is it like? Can you pick up any book, read it, and understand the gist with minimal repetition? Can you infer solid and accurate conclusions based on a small amount of evidence? Is any subject or discipline up for grabs or do you have to have a keen interest in a particular field in order to flourish? What is something you are able to do that you know is because of your intelligence -- the proverbial 1,000 pound deadlift of the brain, if you will.
There is no point to these questions other than curiosity.
That's more or less what I'm getting at. It's a one eyed man thing. Smart relative to "most people" is a lot different than smart relative to "smart people"
110 is plenty of IQ to consider yourself "smart" but there's still a large number of people who are going to intellectually body you. And if you're in an environment full of them (technical lab etc.) It'll be aparent where you are.
If you're managing a mcdonalds with 110 IQ points it's going to be hard not to get a bit arrogant about it.