211122212822041 has 2 divisors, whose sum is σ = 211122212822042. Its totient is φ = 211122212822040.

The previous prime is 211122212821999. The next prime is 211122212822111. The reversal of 211122212822041 is 140228212221112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 169924364534016 + 41197848288025 = 13035504^2 + 6418555^2 .

It is a cyclic number.

It is not a de Polignac number, because 211122212822041 - 2¹⁷ = 211122212690969 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 211122212821994 and 211122212822012.

It is not a weakly prime, because it can be changed into another prime (211122212022041) 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, 105561106411020 + 105561106411021.

It is an arithmetic number, because the mean of its divisors is an integer number (105561106411021).

Almost surely, 2^{211122212822041} is an apocalyptic number.

It is an amenable number.

211122212822041 is a deficient number, since it is larger than the sum of its proper divisors (1).

211122212822041 is an equidigital number, since it uses as much as digits as its factorization.

211122212822041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4096, while the sum is 31.

The spelling of 211122212822041 in words is "two hundred eleven trillion, one hundred twenty-two billion, two hundred twelve million, eight hundred twenty-two thousand, forty-one".