100100111100109 has 32 divisors (see below), whose sum is σ = 108032000163840. Its totient is φ = 92478754684800.

The previous prime is 100100111100029. The next prime is 100100111100127. The reversal of 100100111100109 is 901001111001001.

It is a cyclic number.

It is not a de Polignac number, because 100100111100109 - 2¹⁷ = 100100110969037 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100100111100092 and 100100111100101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100100111100179) 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, 762247564 + ... + 762378874.

It is an arithmetic number, because the mean of its divisors is an integer number (3376000005120).

Almost surely, 2^{100100111100109} is an apocalyptic number.

It is an amenable number.

100100111100109 is a deficient number, since it is larger than the sum of its proper divisors (7931889063731).

100100111100109 is a wasteful number, since it uses less digits than its factorization.

100100111100109 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133441.

The product of its (nonzero) digits is 9, while the sum is 16.

The spelling of 100100111100109 in words is "one hundred trillion, one hundred billion, one hundred eleven million, one hundred thousand, one hundred nine".