Is there a certain kind of battery that an olympus fe-110 5.0 megapixel 2.8 optical zoom digital camera uses?

The Olympus FE-110 uses AA size batteries. The best type of AA batteries to use are NiMH rechargeable. You should buy them in a high capacity such as 2500-2700 mAh.

Or you can use non-rechargeable, AA size lithium batteries (Energizer e2). They are fairly expensive, but will provide up to 600 shots or so (depending on the camera and usage).

Ordinary alkaline batteries are a waste of money...because you have to throw them away more often, and they don't provide adequate power to run a digital camera for very long.