I have about 10 AT101Ws. Since they were in fairly rough shape (and only cost me fifty cents a piece), I decided to use five of them for modding experiments, with very limited success. The upside is that I now have about five hundred spare black Alps switches.
Anyhow, the best way to clean them is to fully disassemble them and scrub the plastic outer casing with hot water and soap. I like to use OxiClean powder and dish/laundry soap. Unlike the Model M, my AT101Ws did not clean easily, and various marks/discolorations were still apparent after lots of elbow grease.
If it is yellowed, high-concentration hydrogen peroxide and sun exposure can sometimes return the plastic to its original state. Since finding concentrations higher than 5% in stores can be difficult, I use a product called Clairol Professional Creme 30, which costs around $5 in beauty supply stores. You just paint it on and leave it in the sun for a few hours.
Clean the keycaps the same way, using hot water, a household cleaner, and a toothbrush.
The Alps switches are not removable without desoldering, so use a q-tip and alcohol to clean the area around them. If they are stiff, there's some info in
this thread on how to lubricate them.