211122011012021 has 2 divisors, whose sum is σ = 211122011012022. Its totient is φ = 211122011012020.

The previous prime is 211122011011963. The next prime is 211122011012023. The reversal of 211122011012021 is 120210110221112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 199746494248900 + 11375516763121 = 14133170^2 + 3372761^2 .

It is a cyclic number.

It is not a de Polignac number, because 211122011012021 - 2²² = 211122006817717 is a prime.

Together with 211122011012023, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (211122011012023) 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, 105561005506010 + 105561005506011.

It is an arithmetic number, because the mean of its divisors is an integer number (105561005506011).

Almost surely, 2^{211122011012021} is an apocalyptic number.

It is an amenable number.

211122011012021 is a deficient number, since it is larger than the sum of its proper divisors (1).

211122011012021 is an equidigital number, since it uses as much as digits as its factorization.

211122011012021 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 211122011012021 its reverse (120210110221112), we get a palindrome (331332121233133).

The spelling of 211122011012021 in words is "two hundred eleven trillion, one hundred twenty-two billion, eleven million, twelve thousand, twenty-one".