111111012121009 has 2 divisors, whose sum is σ = 111111012121010. Its totient is φ = 111111012121008.

The previous prime is 111111012120959. The next prime is 111111012121051. The reversal of 111111012121009 is 900121210111111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 101321779120384 + 9789233000625 = 10065872^2 + 3128775^2 .

It is a cyclic number.

It is not a de Polignac number, because 111111012121009 - 2²⁹ = 111110475250097 is a prime.

It is not a weakly prime, because it can be changed into another prime (111111012121069) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55555506060504 + 55555506060505.

It is an arithmetic number, because the mean of its divisors is an integer number (55555506060505).

Almost surely, 2^{111111012121009} is an apocalyptic number.

It is an amenable number.

111111012121009 is a deficient number, since it is larger than the sum of its proper divisors (1).

111111012121009 is an equidigital number, since it uses as much as digits as its factorization.

111111012121009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 22.

The spelling of 111111012121009 in words is "one hundred eleven trillion, one hundred eleven billion, twelve million, one hundred twenty-one thousand, nine".