Eilika is from the Old Germanic agil (point, edge). Eilika of Saxony (c. 1080-1142) was the Saxon noblewoman, daughter of Magnus, last Duke of the Billung dynasty.
Eilika 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 Eilika reduce to 2, The Peacemaker. This is a traditional interpretive system, not a factual claim about the name.