102112100052 has 48 divisors (see below), whose sum is σ = 250435608192. Its totient is φ = 32319823360.

The previous prime is 102112099997. The next prime is 102112100053. The reversal of 102112100052 is 250001211201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102112100053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1312449 + ... + 1388072.

It is an arithmetic number, because the mean of its divisors is an integer number (5217408504).

Almost surely, 2^102112100052 is an apocalyptic number.

102112100052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102112100052 is an abundant number, since it is smaller than the sum of its proper divisors (148323508140).

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

102112100052 is a wasteful number, since it uses less digits than its factorization.

102112100052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2700688 (or 2700686 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 15.

Adding to 102112100052 its reverse (250001211201), we get a palindrome (352113311253).

The spelling of 102112100052 in words is "one hundred two billion, one hundred twelve million, one hundred thousand, fifty-two".