  We consider a spherically symmetric stellar configuration with a density
profile $\rho(r)=\frac{c^2}{8\pi G r^2} $. This configuration satisfies the
Schwarzchild black hole condition $\frac {2GM}{c^2 R}=~1$ for every $ r =R $.
We refer it as "Planckonion". The interesting thing about the Plankonion is
that it has an onion like structure. The central sphere with radius of the
Plank-lenght $ L_p=\sqrt{(\frac {2\hbar G}{c^3})}$ has one unit of the
Planck-mass $M_p=\sqrt {(\frac {c\hbar}{2G})}$. Subsequent spherical shells of
radial width $L_p$ contain exactly one unit of $M_p$. We study this stellar
configuration using Tolman-Oppenheimer-Volkoff equation and show that the
equation is satisfied if pressure $P(r)=-\rho(r)$. On the geometrical side, the
space component of the metric blows up at every point. The time component of
the metric is zero inside the star but only in the sense of a distribution
(generalized function). The Planckonions mimic some features of black holes but
avoid appearance of central singularity because of the violation of null energy
conditions.
