102120100112000 has 64 divisors (see below), whose sum is σ = 253896098943240. Its totient is φ = 40848040038400.

The previous prime is 102120100111961. The next prime is 102120100112027. The reversal of 102120100112000 is 211001021201.

It can be written as a sum of positive squares in 4 ways, for example, as 28040752803904 + 74079347308096 = 5295352^2 + 8606936^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3191237129 + ... + 3191269128.

Almost surely, 2^{102120100112000} is an apocalyptic number.

102120100112000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102120100112000 is an abundant number, since it is smaller than the sum of its proper divisors (151775998831240).

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

102120100112000 is an frugal number, since it uses more digits than its factorization.

102120100112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6382506286 (or 6382506264 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 102120100112000 its reverse (211001021201), we get a palindrome (102331101133201).

The spelling of 102120100112000 in words is "one hundred two trillion, one hundred twenty billion, one hundred million, one hundred twelve thousand".