For starters, you can only consider yourself playing deep stacked if others are deep as well. If you are the only deep stack at the table and you find yourself calling peoples bets lighter than you usually would just because you have a bigger stack in front of you, you should probably consider moving tables and buying in for your normal 100bb again.
As for playing against other deep stacks, I don't have much experience but you will have a lot more room for chasing draws, sets etc because of the greater implied odds
. Also there can be bigger bets being made on the flop and turn as people will be chasing these draws more often.