、。
A microfiber cloth is a cloth woven from fibers 1/100th the thickness of a human hair.
Literal
Microfiber-cloth [topic-は], hair [gen-の] 1/100 [quotative-という] thinness [gen-の] fiber [with-で] weave-up [passive-られた] cloth is.
A product-description definition. という here attaches to a descriptive phrase ('1/100 の') to form a quotative-naming: 'the so-called 1/100 thinness.' 100分の1 is the Japanese way of expressing fractions: '100-divided-by-1' means '1/100 part.' 編みあげる ('to weave up / weave together') is a compound verb where the ~あげる auxiliary contributes a 'complete the task' nuance. The passive 編みあげられた is used attributively as a relative clause — 'a cloth (that has been) woven from...' Technical and precise.