Schulhoff was a renowned pianist who composed this work to highlight the capabilities of the modern grand piano. It utilizes sonata-form structure as a vehicle for bravura technical display.
Ensure precision in the rapid scalar runs and wide-spanning broken-chord configurations.
Comparable difficulty and character — good candidates for what to learn next.
Allegro brillant en forme de sonate (Op.1) is rated Henle level 7 of 9 — late advanced repertoire, roughly ABRSM grade 8 and above. In the RCM system it corresponds to about level 9.
You should be comfortable at Henle level 7 — meaning you can already play level 6–7 pieces cleanly. Learning it one level early is possible as a stretch piece, but more than that usually leads to months of frustration.
A typical performance of Allegro brillant en forme de sonate (Op.1) lasts about 6 minutes.
Allegro brillant en forme de sonate (Op.1) is available as free public-domain sheet music on IMSLP — the score is linked directly from this page.
Pieces at a comparable difficulty and character include Allegro capriccio by Julius Schulhoff, Rhapsody in Blue (Solo Piano) by George Gershwin, Fantaisie-Impromptu in C-sharp minor by Frédéric Chopin — see the full similar-pieces list on this page.