100111011011009 has 4 divisors (see below), whose sum is σ = 100133655442260. Its totient is φ = 100088366579760.

The previous prime is 100111011010987. The next prime is 100111011011057. The reversal of 100111011011009 is 900110110111001.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 72575541880384 + 27535469130625 = 8519128^2 + 5247425^2 .

It is a cyclic number.

It is not a de Polignac number, because 100111011011009 - 2³² = 100106716043713 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100111019011009) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11322208994 + ... + 11322217835.

It is an arithmetic number, because the mean of its divisors is an integer number (25033413860565).

Almost surely, 2^{100111011011009} is an apocalyptic number.

It is an amenable number.

100111011011009 is a deficient number, since it is larger than the sum of its proper divisors (22644431251).

100111011011009 is an equidigital number, since it uses as much as digits as its factorization.

100111011011009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22644431250.

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

The spelling of 100111011011009 in words is "one hundred trillion, one hundred eleven billion, eleven million, eleven thousand, nine".