Scholastica comes from the Latin scholasticus, meaning "scholar" or "learned one." Saint Scholastica (c. 480-543) was the twin sister of Saint Benedict and the founder of female Benedictine monasticism.
Scholastica is widely used in Catholic communities.
Scholastica does not currently appear in the US Social Security Administration's top 1,000 girls' names, so we don't publish a US rank or birth count for it. That says nothing about the name's standing elsewhere in the world — only that it sits outside the ranked US data we rely on.
In Pythagorean numerology the letters of Scholastica reduce to 2, The Peacemaker. This is a traditional interpretive system, not a factual claim about the name.