111000101000009 has 6 divisors (see below), whose sum is σ = 120195375639246. Its totient is φ = 102461631692160.

The previous prime is 111000100999987. The next prime is 111000101000017. The reversal of 111000101000009 is 900000101000111.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 12342068344384 + 98658032655625 = 3513128^2 + 9932675^2 .

It is not a de Polignac number, because 111000101000009 - 2²⁸ = 110999832564553 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 111000100999957 and 111000101000002.

It is not an unprimeable number, because it can be changed into a prime (111000101000039) 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 5 ways as a sum of consecutive naturals, for example, 328402665512 + ... + 328402665849.

It is an arithmetic number, because the mean of its divisors is an integer number (20032562606541).

Almost surely, 2^{111000101000009} is an apocalyptic number.

It is an amenable number.

111000101000009 is a deficient number, since it is larger than the sum of its proper divisors (9195274639237).

111000101000009 is an equidigital number, since it uses as much as digits as its factorization.

111000101000009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656805331387 (or 656805331374 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 14.

The spelling of 111000101000009 in words is "one hundred eleven trillion, one hundred one million, nine", and thus it is an aban number.