100101111000904 has 64 divisors (see below), whose sum is σ = 215092544688000. Its totient is φ = 43264328684544.

The previous prime is 100101111000889. The next prime is 100101111000911. The reversal of 100101111000904 is 409000111101001.

It is a happy number.

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 15 ways as a sum of consecutive naturals, for example, 141905142 + ... + 142608805.

It is an arithmetic number, because the mean of its divisors is an integer number (3360821010750).

Almost surely, 2^{100101111000904} is an apocalyptic number.

It is an amenable number.

100101111000904 is an abundant number, since it is smaller than the sum of its proper divisors (114991433687096).

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

100101111000904 is a wasteful number, since it uses less digits than its factorization.

100101111000904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284514182 (or 284514178 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 19.

Adding to 100101111000904 its reverse (409000111101001), we get a palindrome (509101222101905).

The spelling of 100101111000904 in words is "one hundred trillion, one hundred one billion, one hundred eleven million, nine hundred four", and thus it is an aban number.