100000010000100 has 216 divisors, whose sum is σ = 342462188531008. Its totient is φ = 22068967334400.

The previous prime is 100000010000063. The next prime is 100000010000147. The reversal of 100000010000100 is 1000010000001.

It is a Harshad number since it is a multiple of its sum of digits (3).

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

100000010000100 is a modest number, since divided by 10000100 gives 10000 as remainder.

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 71 ways as a sum of consecutive naturals, for example, 26544871 + ... + 30077070.

Almost surely, 2^{100000010000100} is an apocalyptic number.

100000010000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100000010000100 is an abundant number, since it is smaller than the sum of its proper divisors (242462178530908).

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

100000010000100 is a wasteful number, since it uses less digits than its factorization.

100000010000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56622023 (or 56621987 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 3.

Adding to 100000010000100 its reverse (1000010000001), we get a palindrome (101000020000101).

Subtracting from 100000010000100 its reverse (1000010000001), we obtain a palindrome (99000000000099).

The spelling of 100000010000100 in words is "one hundred trillion, ten million, one hundred", and thus it is an aban number.