  We study the electronic properties of charged fullerenes and onion-like
structures in the framework of a simple physical model and show the existence
of a system of discrete short-lifetime quantum levels for electrons in the
model well potential. In the case of positively charged fullerenes, we find
that the energy of the volume-localized levels ranges from 1 eV to 100 eV.
Electrons captured by these discrete levels localized in the volume generate a
specific nano-atom wherein electrons are localized inside a charged hollow
sphere of fullerene playing the role of a nucleus in an atom. In case of
negatively charged single-layered or onion-like structure fullerenes, Coulomb
field creates a spherical potential well for positively charged particles
(protons, nuclei of deuterium, tritium or {\mu}+- mesons). In such a case, a
system of discrete levels for positively charged particles is created wherein
protons act as electrons and negatively charged sphere of fullerene plays the
role of a nucleus.
