100100102000100 has 36 divisors (see below), whose sum is σ = 289622961787824. Its totient is φ = 26693360533280.

The previous prime is 100100102000099. The next prime is 100100102000131. The reversal of 100100102000100 is 1000201001001.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 166833503034 + ... + 166833503633.

It is an arithmetic number, because the mean of its divisors is an integer number (8045082271884).

Almost surely, 2^{100100102000100} is an apocalyptic number.

100100102000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100100102000100 is an abundant number, since it is smaller than the sum of its proper divisors (189522859787724).

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

100100102000100 is a wasteful number, since it uses less digits than its factorization.

100100102000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333667006684 (or 333667006677 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 100100102000100 its reverse (1000201001001), we get a palindrome (101100303001101).

Subtracting from 100100102000100 its reverse (1000201001001), we obtain a palindrome (99099900999099).

The spelling of 100100102000100 in words is "one hundred trillion, one hundred billion, one hundred two million, one hundred", and thus it is an aban number.