122112223313021 has 2 divisors, whose sum is σ = 122112223313022. Its totient is φ = 122112223313020.

The previous prime is 122112223313011. The next prime is 122112223313051. The reversal of 122112223313021 is 120313322211221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 115906992852121 + 6205230460900 = 10766011^2 + 2491030^2 .

It is an emirp because it is prime and its reverse (120313322211221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 122112223313021 - 2¹⁸ = 122112223050877 is a prime.

It is a super-2 number, since 2×122112223313021² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122112223313011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61056111656510 + 61056111656511.

It is an arithmetic number, because the mean of its divisors is an integer number (61056111656511).

Almost surely, 2^{122112223313021} is an apocalyptic number.

It is an amenable number.

122112223313021 is a deficient number, since it is larger than the sum of its proper divisors (1).

122112223313021 is an equidigital number, since it uses as much as digits as its factorization.

122112223313021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 26.

Adding to 122112223313021 its reverse (120313322211221), we get a palindrome (242425545524242).

The spelling of 122112223313021 in words is "one hundred twenty-two trillion, one hundred twelve billion, two hundred twenty-three million, three hundred thirteen thousand, twenty-one".