100100011111001 has 32 divisors (see below), whose sum is σ = 115177192099200. Its totient is φ = 86158517114880.

The previous prime is 100100011110997. The next prime is 100100011111129. The reversal of 100100011111001 is 100111110001001.

It is a cyclic number.

It is not a de Polignac number, because 100100011111001 - 2² = 100100011110997 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100100011111001.

It is not an unprimeable number, because it can be changed into a prime (100100011141001) 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 31 ways as a sum of consecutive naturals, for example, 11466575 + ... + 18212148.

It is an arithmetic number, because the mean of its divisors is an integer number (3599287253100).

Almost surely, 2^{100100011111001} is an apocalyptic number.

100100011111001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100100011111001 is a deficient number, since it is larger than the sum of its proper divisors (15077180988199).

100100011111001 is a wasteful number, since it uses less digits than its factorization.

100100011111001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29678969.

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 100100011111001 its reverse (100111110001001), we get a palindrome (200211121112002).

The spelling of 100100011111001 in words is "one hundred trillion, one hundred billion, eleven million, one hundred eleven thousand, one".