There are multiple origins and meanings for the name:
1. Arabic name (عالم) - "scientist, scholar, academic, knowing; world, universe". One of the names of Allah.
2. Hebrew name (אַלִים) - "violent, strong"
Saint Alim (Achim) Maccabee (d. 166 BC. E.), According to legend, one of seven brothers - in Old Testament martyrs killed during the persecution of Antiochus IV.