102005301255201 has 32 divisors (see below), whose sum is σ = 151614752814720. Its totient is φ = 67780555702272.

The previous prime is 102005301255191. The next prime is 102005301255217. The reversal of 102005301255201 is 102552103500201.

102005301255201 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 0 + 530 + 125 + 5 + 2 + 0 + 1 = 666.

It is not a de Polignac number, because 102005301255201 - 2¹⁴ = 102005301238817 is a prime.

It is a super-2 number, since 2×102005301255201² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (102005301255251) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27394081 + ... + 30894113.

It is an arithmetic number, because the mean of its divisors is an integer number (4737961025460).

Almost surely, 2^{102005301255201} is an apocalyptic number.

It is an amenable number.

102005301255201 is a deficient number, since it is larger than the sum of its proper divisors (49609451559519).

102005301255201 is a wasteful number, since it uses less digits than its factorization.

102005301255201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3503582 (or 3503576 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

Adding to 102005301255201 its reverse (102552103500201), we get a palindrome (204557404755402).

The spelling of 102005301255201 in words is "one hundred two trillion, five billion, three hundred one million, two hundred fifty-five thousand, two hundred one".