We present WFPC2 and ground-based V I photometry of NGC 121 and a nearby fi
eld in the outer SMC. For NGC 121, we measure a true distance modulus of mu
(0) = 18.96 +/- 0.04 (distance of 61.9 +/- 1.1 kpc), age of 10.6 +/- 0.5 G
yr, metallicity of [Fe/H] = -1.03 +/- 0.06, and initial mass of 4.1 +/- 0.4
x 10(5) assuming a Salpeter IMF with lower cutoff at 0.1 M. In the outer S
MC field, we find evidence of stars covering a wide range of ages-from 2 Gy
r to at least 9-12 Gyr old. We have measured the distance, extinction, and
star formation history (past star formation rates and enrichment history) u
sing a CMD-fitting algorithm. The distance modulus of the SMC is measured t
o be mu (0) = 18.88 +/- 0.08, corresponding to a distance of 59.7 +/- 2.2 k
pc. The overall star formation rate appears to have been relatively constan
t over this period, although there may be small gaps in the star-forming ac
tivity too small to be resolved. The lack of current star-forming activity
is a selection effect, as the field was intentionally chosen to avoid recen
t activity. The mean metallicity of this field has increased from an averag
e of [Fe/H] = -1.3 +/- 0.3 for stars older than 8 Gyr to [Fe/H] = -0.7 +/-
0.2 in the past 3 Gyr.