The composite cofactor of the numerator of Bernoulli(200) was the product of 90-digit and 115-digit prime numbers:

90-digit prime factor:
149474329044343594528784250333645983079497454292838248852612270757617561057674257880592603

115-digit prime factor:
2309888494878522213154166450313710367329236616136192088115975953987911840431532723141985023484762629703896050377709

The factors have been reported to Mazur and Stein for inclusion in their upcoming book. A more detailed report is available.