I think the most unexpected thing I've learned from studying networks of protein-interactions is something called the [Friendship Paradox](https://en.wikipedia.org/wiki/Friendship_paradox)
The major implication is that, on average, your friends are more popular than you. They also, on avg, have had more sexual partners.
If you're starting to feel personally attacked, don't worry, it's just a case of sampling bias and high-degree networks. There's a bunch of math that can explain this but it's also intuitive imho [1/2]