If you hold down the last icon on the right a menu of selectable icons will be displayed. You can set the two icons on the right to be whatever you like. If you select the person icon, that's your profile. In your profile you can see a list of people following you. You can also set push notifications to alert you when you get a new follower. If you have it set up, in notification center or lock screen, you can go directly to that follower profile.
I have used a lot of iOS twitter clients (probably too many to mention without boring you). Tweetbot is by far the smoothest, well designed, and most feature-ridden. There might be some with more features but none have the smoothness of Tweetbot. Twitterlator Neue has a slick interface as well, but they charge for Push notifications and the Tweetmarker functionality doesn't work all that well.