102112100000100 has 54 divisors (see below), whose sum is σ = 320064704558690. Its totient is φ = 27229893333120.

The previous prime is 102112100000059. The next prime is 102112100000107. The reversal of 102112100000100 is 1000001211201.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 1581678491904 + 100530421508196 = 1257648^2 + 10026486^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (102112100000107) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 56728943545 + ... + 56728945344.

Almost surely, 2^{102112100000100} is an apocalyptic number.

102112100000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102112100000100 is an abundant number, since it is smaller than the sum of its proper divisors (217952604558590).

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

102112100000100 is a wasteful number, since it uses less digits than its factorization.

102112100000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113457888909 (or 113457888899 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 102112100000100 its reverse (1000001211201), we get a palindrome (103112101211301).

The spelling of 102112100000100 in words is "one hundred two trillion, one hundred twelve billion, one hundred million, one hundred", and thus it is an aban number.