Eiges was a minor Russian composer; this work reflects the late-romantic transition into early 20th-century lyricism. It is a modest, character-driven piece focused on steady, melodic expression.
The primary challenge is to sustain a long-breathed phrasing without rushing the compound meter.
Comparable difficulty and character — good candidates for what to learn next.
Barcarolle (Op.4) is rated Henle level 4 of 9 — intermediate repertoire, roughly ABRSM grades 5–6. In the RCM system it corresponds to about level 6.
You should be comfortable at Henle level 4 — meaning you can already play level 3–4 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 Barcarolle (Op.4) lasts about 3 minutes.
Barcarolle (Op.4) 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 As in a Rose Jar by Charles Wakefield Cadman, Berceuse by Georges Bizet, Berceuse sur le nom de Gabriel Fauré by Maurice Ravel — see the full similar-pieces list on this page.