111111110111009 has 2 divisors, whose sum is σ = 111111110111010. Its totient is φ = 111111110111008.

The previous prime is 111111110110981. The next prime is 111111110111093. The reversal of 111111110111009 is 900111011111111.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 102786586810384 + 8324523300625 = 10138372^2 + 2885225^2 .

It is a cyclic number.

It is not a de Polignac number, because 111111110111009 - 2¹⁶ = 111111110045473 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (111111110111509) 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 as a sum of consecutive naturals, namely, 55555555055504 + 55555555055505.

It is an arithmetic number, because the mean of its divisors is an integer number (55555555055505).

Almost surely, 2^{111111110111009} is an apocalyptic number.

It is an amenable number.

111111110111009 is a deficient number, since it is larger than the sum of its proper divisors (1).

111111110111009 is an equidigital number, since it uses as much as digits as its factorization.

111111110111009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9, while the sum is 20.

The spelling of 111111110111009 in words is "one hundred eleven trillion, one hundred eleven billion, one hundred ten million, one hundred eleven thousand, nine".