High gain amplifier ADA4528
With a ratio of 10uV to 100mV you'll need a gain of 10000. Looking at the closed loop Gain vs Frequency graph if you extrapolate the gain to 10k, you'll have a bandwidth of roughly 100Hz. There can be gain, and bandwidth, but there is a tradeoff between the two. If the bandwidth of the signal really is more than 100Hz you'll need more than one amplification stage. 

For example, you could use two 4528's with a gain of 100, and a bandwidth of ~10kHz

or as Sphero suggested a 4 stages of 10 (or two ADA4528-2's or dual opamp packages) which would give you a bandwidth of 100kHz



Another thing that I'd recommend is use the ADA4522 as the 4528 requires an RF input filter (the 4522 has the RF input filter built in).