102057002112 has 64 divisors (see below), whose sum is σ = 291941919360. Its totient is φ = 31402152960.

The previous prime is 102057002111. The next prime is 102057002167. The reversal of 102057002112 is 211200750201.

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

It is not an unprimeable number, because it can be changed into a prime (102057002111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10217064 + ... + 10227047.

It is an arithmetic number, because the mean of its divisors is an integer number (4561592490).

Almost surely, 2^102057002112 is an apocalyptic number.

102057002112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102057002112 is an abundant number, since it is smaller than the sum of its proper divisors (189884917248).

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

102057002112 is a wasteful number, since it uses less digits than its factorization.

102057002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20444141 (or 20444129 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 21.

Adding to 102057002112 its reverse (211200750201), we get a palindrome (313257752313).

The spelling of 102057002112 in words is "one hundred two billion, fifty-seven million, two thousand, one hundred twelve".