Periklia is from the Greek Περικλεία (Perikleía — peri around + kleos glory/fame — surrounded by glory) — feminine of Greek Pericles. Periklia is one of the Greek feminine names — central to traditional Greek heritage. Greek feminine name reflecting Greek classical heritage.
Periklia 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 Periklia reduce to 9, The Giver. This is a traditional interpretive system, not a factual claim about the name.