  This is a short review of methods and results of calculations of fission
barriers and fission half-lives of even-even superheavy nuclei. An approvable
agreement of the following approaches is shown and discussed: The
macroscopic-microscopic approach based on the stratagem of the shell correction
to the liquid drop model and a vantage point of microscopic energy density
functionals of Skyrme and Gogny type selfconsistently calculated within
Hartree-Fock-Bogoliubov method. Mass parameters are calculated in the
Hartree-Fock-Bogoliubov cranking approximation. A short part of the paper is
devoted to the nuclear fission dynamics. We also discuss the predictive power
of Skyrme functionals applied to key properties of the fission path of
$^{266}$Hs. It applies the standard techniques of error estimates in the
framework of a $\chi^2$ analysis.
