We present imaging with the Very Long Baseline Array of the neutral hy
drogen 21 cm absorption-line system seen toward the nuclear regions of
Mrk 231 at z. = 0.04217, and imaging of the radio continuum emission
at 1.4 GHz on scales ranging from a few parsecs to a few hundred parse
cs. These data indicate the existence of a subkiloparsec gas disk in M
rk 231, as seen in H I 21 cm absorption and in radio continuum emissio
n. The radio continuum morphology is consistent with a disk of maximum
radius of 440 mas (260 h(-1) pc), at an inclination angle of 45 degre
es, with a major axis oriented east-west. The H I 21 cm absorption sho
ws an east-west gradient in position and velocity of about +/- 110 km
s(-1) out to radii of 100 mas (60 h(-1) pc). We identify this H I and
radio continuum disk as the inner part of the molecular disk seen on a
factor of 3 larger scale. The physical conditions for the thermal and
nonthermal gas in the subkiloparsec disk of Mrk 231 are similar to th
ose proposed for compact nuclear starburst galaxies and, in particular
, to the conditions proposed for the subkiloparsec gas disk in Arp 220
. From the neutral hydrogen velocity field we derive a gravitational m
ass enclosed within a 50 h(-1) pc radius of 3 x 10(8) h(-1) M., and fr
om the radio continuum emission we derive a massive star formation rat
e in the disk of 60 M. y(-1). We also present a search for H I 21 cm a
bsorption associated with the optical broad absorption line (BAL) syst
ems toward Mrk 231. We do not detect H I 21 cm absorption associated w
ith any of the optical BAL systems. These negative results require tha
t the neutral atomic gas in the BAL clouds be fairly warm (spin temper
ature T-s > 50 K), unless the Na I abundance is higher than solar, or
the dust-togas ratio is higher than Galactic, or the observed extincti
on toward the nucleus of Mrk 231 is not due to the BAL gas.