102213113232000 has 256 divisors, whose sum is σ = 344579470934400. Its totient is φ = 26794849280000.

The previous prime is 102213113231921. The next prime is 102213113232047. The reversal of 102213113232000 is 232311312201.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15214101 + ... + 20878100.

Almost surely, 2^{102213113232000} is an apocalyptic number.

102213113232000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102213113232000 is an abundant number, since it is smaller than the sum of its proper divisors (242366357702400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102213113232000 is an equidigital number, since it uses as much as digits as its factorization.

102213113232000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36092292 (or 36092270 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 102213113232000 its reverse (232311312201), we get a palindrome (102445424544201).

The spelling of 102213113232000 in words is "one hundred two trillion, two hundred thirteen billion, one hundred thirteen million, two hundred thirty-two thousand".