100100011100099 has 16 divisors (see below), whose sum is σ = 101586835385856. Its totient is φ = 98615334081600.

The previous prime is 100100011100081. The next prime is 100100011100171. The reversal of 100100011100099 is 990001110001001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 100100011100099 - 2²⁴ = 100099994322883 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100100011100699) 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 15 ways as a sum of consecutive naturals, for example, 2364676364 + ... + 2364718694.

It is an arithmetic number, because the mean of its divisors is an integer number (6349177211616).

Almost surely, 2^{100100011100099} is an apocalyptic number.

100100011100099 is a deficient number, since it is larger than the sum of its proper divisors (1486824285757).

100100011100099 is a wasteful number, since it uses less digits than its factorization.

100100011100099 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66866.

The product of its (nonzero) digits is 81, while the sum is 23.

The spelling of 100100011100099 in words is "one hundred trillion, one hundred billion, eleven million, one hundred thousand, ninety-nine".