100100111101109 has 32 divisors (see below), whose sum is σ = 121221619384320. Its totient is φ = 80691661548288.

The previous prime is 100100111101091. The next prime is 100100111101117. The reversal of 100100111101109 is 901101111001001.

It is not a de Polignac number, because 100100111101109 - 2⁴⁰ = 99000599473333 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100100111101129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1793655884 + ... + 1793711690.

It is an arithmetic number, because the mean of its divisors is an integer number (3788175605760).

Almost surely, 2^{100100111101109} is an apocalyptic number.

It is an amenable number.

100100111101109 is a deficient number, since it is larger than the sum of its proper divisors (21121508283211).

100100111101109 is a wasteful number, since it uses less digits than its factorization.

100100111101109 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67017.

The product of its (nonzero) digits is 9, while the sum is 17.

The spelling of 100100111101109 in words is "one hundred trillion, one hundred billion, one hundred eleven million, one hundred one thousand, one hundred nine".