2112112211021 has 2 divisors, whose sum is σ = 2112112211022. Its totient is φ = 2112112211020.

The previous prime is 2112112210991. The next prime is 2112112211087. The reversal of 2112112211021 is 1201122112112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2103065538025 + 9046672996 = 1450195^2 + 95114^2 .

It is a cyclic number.

It is not a de Polignac number, because 2112112211021 - 2²⁶ = 2112045102157 is a prime.

It is a super-2 number, since 2×2112112211021² (a number of 25 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2112112211921) 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, 1056056105510 + 1056056105511.

It is an arithmetic number, because the mean of its divisors is an integer number (1056056105511).

Almost surely, 2^{2112112211021} is an apocalyptic number.

It is an amenable number.

2112112211021 is a deficient number, since it is larger than the sum of its proper divisors (1).

2112112211021 is an equidigital number, since it uses as much as digits as its factorization.

2112112211021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 2112112211021 its reverse (1201122112112), we get a palindrome (3313234323133).

The spelling of 2112112211021 in words is "two trillion, one hundred twelve billion, one hundred twelve million, two hundred eleven thousand, twenty-one".