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Double beta decay of $^{100}$Mo to the excited states of daughter nuclei hasbeen studied using a 600 cm$^3$ low-background HPGe detector and an externalsource consisting of 2588 g of 97.5% enriched metallic $^{100}$Mo, which wasformerly inside the NEMO-3 detector and used for the NEMO-3 measurements of$^{100}$Mo. The half-life for the two-neutrino double beta decay of $^{100}$Moto the excited 0$^+_1$ state in $^{100}$Ru is measured to be $T_{1/2}=[7.5\pm{0.6}(stat) \pm {0.6}(syst)]\cdot 10^{20}$ yr. For other $(0\nu + 2\nu)$transitions to the 2$^+_1$, 2$^+_2$, 0$^+_2$, 2$^+_3$ and 0$^+_3$ levels in$^{100}$Ru, limits are obtained at the level of $\sim (0.25-1.1)\cdot 10^{22}$yr.

Investigation of double beta decay of $^{100}$Mo to excited states of $^{100}$Ru