102647020137120 has 384 divisors, whose sum is σ = 362830764441600. Its totient is φ = 27100943483904.

The previous prime is 102647020137089. The next prime is 102647020137157. The reversal of 102647020137120 is 21731020746201.

102647020137120 is a `hidden beast` number, since 1 + 0 + 2 + 64 + 7 + 0 + 201 + 371 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2304425569 + ... + 2304470111.

It is an arithmetic number, because the mean of its divisors is an integer number (944871782400).

Almost surely, 2^{102647020137120} is an apocalyptic number.

102647020137120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102647020137120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181415382220800).

102647020137120 is an abundant number, since it is smaller than the sum of its proper divisors (260183744304480).

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

102647020137120 is a wasteful number, since it uses less digits than its factorization.

102647020137120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49849 (or 49835 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 102647020137120 in words is "one hundred two trillion, six hundred forty-seven billion, twenty million, one hundred thirty-seven thousand, one hundred twenty".