100111111009 has 8 divisors (see below), whose sum is σ = 123213675200. Its totient is φ = 79208791056.

The previous prime is 100111110971. The next prime is 100111111013. The reversal of 100111111009 is 900111111001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100111111009 - 2⁷ = 100111110881 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100111110983 and 100111111001.

It is not an unprimeable number, because it can be changed into a prime (100111111109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 550060959 + ... + 550061140.

It is an arithmetic number, because the mean of its divisors is an integer number (15401709400).

Almost surely, 2^100111111009 is an apocalyptic number.

It is an amenable number.

100111111009 is a deficient number, since it is larger than the sum of its proper divisors (23102564191).

100111111009 is a wasteful number, since it uses less digits than its factorization.

100111111009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1100122119.

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

The spelling of 100111111009 in words is "one hundred billion, one hundred eleven million, one hundred eleven thousand, nine".