2112312011009 has 2 divisors, whose sum is σ = 2112312011010. Its totient is φ = 2112312011008.

The previous prime is 2112312010997. The next prime is 2112312011021. The reversal of 2112312011009 is 9001102132112.

It is a balanced prime because it is at equal distance from previous prime (2112312010997) and next prime (2112312011021).

It can be written as a sum of positive squares in only one way, i.e., 1072564708609 + 1039747302400 = 1035647^2 + 1019680^2 .

It is a cyclic number.

It is not a de Polignac number, because 2112312011009 - 2¹² = 2112312006913 is a prime.

It is not a weakly prime, because it can be changed into another prime (2112312010009) 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, 1056156005504 + 1056156005505.

It is an arithmetic number, because the mean of its divisors is an integer number (1056156005505).

Almost surely, 2^{2112312011009} is an apocalyptic number.

It is an amenable number.

2112312011009 is a deficient number, since it is larger than the sum of its proper divisors (1).

2112312011009 is an equidigital number, since it uses as much as digits as its factorization.

2112312011009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 23.

The spelling of 2112312011009 in words is "two trillion, one hundred twelve billion, three hundred twelve million, eleven thousand, nine".