111100112100009 has 16 divisors (see below), whose sum is σ = 164616302467840. Its totient is φ = 74056146689520.

The previous prime is 111100112099953. The next prime is 111100112100013. The reversal of 111100112100009 is 900001211001111.

It is not a de Polignac number, because 111100112100009 - 2⁹ = 111100112099497 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 111100112099964 and 111100112100000.

It is not an unprimeable number, because it can be changed into a prime (111100112100059) 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, 294105262 + ... + 294482775.

It is an arithmetic number, because the mean of its divisors is an integer number (10288518904240).

Almost surely, 2^{111100112100009} is an apocalyptic number.

It is an amenable number.

111100112100009 is a deficient number, since it is larger than the sum of its proper divisors (53516190367831).

111100112100009 is an equidigital number, since it uses as much as digits as its factorization.

111100112100009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588595037 (or 588595031 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 18.

The spelling of 111100112100009 in words is "one hundred eleven trillion, one hundred billion, one hundred twelve million, one hundred thousand, nine".