100111000110009 has 32 divisors (see below), whose sum is σ = 153575839420416. Its totient is φ = 56822132982720.

The previous prime is 100111000110007. The next prime is 100111000110073. The reversal of 100111000110009 is 900011000111001.

It is not a de Polignac number, because 100111000110009 - 2¹ = 100111000110007 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100111000110009.

It is not an unprimeable number, because it can be changed into a prime (100111000110007) 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, 5647062 + ... + 15235199.

It is an arithmetic number, because the mean of its divisors is an integer number (4799244981888).

Almost surely, 2^{100111000110009} is an apocalyptic number.

It is an amenable number.

100111000110009 is a deficient number, since it is larger than the sum of its proper divisors (53464839310407).

100111000110009 is a wasteful number, since it uses less digits than its factorization.

100111000110009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20883805.

The product of its (nonzero) digits is 9, while the sum is 15.

The spelling of 100111000110009 in words is "one hundred trillion, one hundred eleven billion, one hundred ten thousand, nine".