111111111100009 has 8 divisors (see below), whose sum is σ = 111754628465480. Its totient is φ = 110467919491200.

The previous prime is 111111111099913. The next prime is 111111111100021. The reversal of 111111111100009 is 900001111111111.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1444871312784 + 109666239787225 = 1202028^2 + 10472165^2 .

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 111111111100009 - 2²¹ = 111111109002857 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (111111111100709) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 80755002 + ... + 82119379.

It is an arithmetic number, because the mean of its divisors is an integer number (13969328558185).

Almost surely, 2^{111111111100009} is an apocalyptic number.

It is an amenable number.

111111111100009 is a deficient number, since it is larger than the sum of its proper divisors (643517365471).

111111111100009 is a wasteful number, since it uses less digits than its factorization.

111111111100009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162878331.

The product of its (nonzero) digits is 9, while the sum is 19.

The spelling of 111111111100009 in words is "one hundred eleven trillion, one hundred eleven billion, one hundred eleven million, one hundred thousand, nine".