  The position and momentum spreading of the electron distribution of the
two-dimensional confined hydrogenic atom, which is a basic prototype of the
general multidimensional confined quantum systems, is numerically studied in
terms of the confinement radius for the 1s, 2s, 2p and 3d quantum states by
means of the main entropy and complexity information-theoretic measures. First,
the Shannon entropy and the Fisher information as well as the associated
uncertainty relations are computed and discussed. Then, the Fisher-Shannon, LMC
and LMC-R\'enyi complexity measures are examined and mutually compared. We have
found that these entropy and complexity quantities reflect the rich properties
of the electron confinement extent in the two conjugated spaces.
