  It is shown that a similar functional form $S=a+b\ln N$ holds approximately
for the information entropy S as function of the number of particles N for
atoms, nuclei and atomic clusters (fermionic systems) and correlated
boson-atoms in a trap (bosonic systems). It is also seen that rigorous
inequalities previously found to hold between S and the kinetic energy T for
fermionic systems, hold for bosonic systems as well. It is found that
Landsberg's order parameter $\Omega$ is an increasing function of N for the
above systems. It is conjectured that the above properties are universal i.e.
they do not depend on the kind of constituent particles (fermions or correlated
bosons) and the size of the system.
