I swear I was not paid to Nokia to say this!
Qt is neat but might be overkill depending on what you're trying to do. GLUT is meant to simplify the platform-dependent intricacies to make examples easier to understand. It's totally usable for games, but you may have to do a little extra work/hacking (keyboard input is useless until you implement some kind of key-state table, joystick support is useless).
Qt gives you real widgets (among other things), and is much better for creating applications that need more than just a bare OpenGL window.
Also worth noting that Qt is out of the question if you don't want to use C++.