Born in 1844 in Tikhvin, in north-western Russia, Rimsky-Korsakov was first a naval officer who composed as an amateur, within the group of Russian composers known as “the Five”. In 1871 he became a professor at the St Petersburg Conservatory, where he trained a whole generation, Stravinsky among them. He is known mostly for operas and orchestral works such as Scheherazade; he wrote little for the piano. Flight of the Bumblebee is an interlude from Act III of his opera The Tale of Tsar Saltan (1900), after Pushkin.
The catalogue version is a piano reduction of that orchestral interlude. The right hand plays chromatic sixteenth notes almost without a break, at nearly ten notes per second, and nearly a third of the notes carry an accidental. Settle on a chromatic-scale fingering first and keep it throughout. Noctave's reduced tempo helps here: raise the speed step by step, only once each passage is even.