How do I clean inside of faucet?

I live on the 14th floor of a high-rise in New York City---I have noticed a mold smell coming from bathroom. I have run water used drain cleaner and still have the odor. When I pulled out the sink stopper it was covered with black mold I soaked it in Clorox and that did the job on that drain. Today I turned on the tub and black stringy mold (looked like a plant) came out of the faucet. I was able to get a small tooth brush up a small part of faucet and seems the whole inside is covered with thick black mold.

no fan or window in this room