122332233220121 has 2 divisors, whose sum is σ = 122332233220122. Its totient is φ = 122332233220120.

The previous prime is 122332233220073. The next prime is 122332233220133. The reversal of 122332233220121 is 121022332233221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 117523703497225 + 4808529722896 = 10840835^2 + 2192836^2 .

It is a cyclic number.

It is not a de Polignac number, because 122332233220121 - 2¹⁴ = 122332233203737 is a prime.

It is not a weakly prime, because it can be changed into another prime (122332233220321) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61166116610060 + 61166116610061.

It is an arithmetic number, because the mean of its divisors is an integer number (61166116610061).

Almost surely, 2^{122332233220121} is an apocalyptic number.

It is an amenable number.

122332233220121 is a deficient number, since it is larger than the sum of its proper divisors (1).

122332233220121 is an equidigital number, since it uses as much as digits as its factorization.

122332233220121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10368, while the sum is 29.

Adding to 122332233220121 its reverse (121022332233221), we get a palindrome (243354565453342).

The spelling of 122332233220121 in words is "one hundred twenty-two trillion, three hundred thirty-two billion, two hundred thirty-three million, two hundred twenty thousand, one hundred twenty-one".