  As the result of synthesis of nuclei with large proton numbers a new region
of investigations of the structure of nuclei has been discovered. Due to the
recent significant increase in the yield of superheavy nuclei their
gamma-spectroscopic studies became possible. The purpose of paper is to predict
the excitation energies of the $2^+_1$ states of nuclei with Z$\ge 100$ using
the microscopic variant of the Grodzins relation derived based on the
geometrical collective model. The excitation energies of the $2^+_1$ states of
the even-even nuclei from $^{256}$Fm to $^{296}_{120}$X which differ from each
other in the number of $\alpha$-particles are predicted. It is shown that at
the beginning of the chain of the studied nuclei the excitation energies of the
$2^+_1$ states don't exceed 100 keV. Then $E(2^+_1)$ sharply increases with $A$
and reaches maximum value of $400-500$ keV in $^{284}$Fl or $^{292}$Og.
