122333201321 has 2 divisors, whose sum is σ = 122333201322. Its totient is φ = 122333201320.

The previous prime is 122333201303. The next prime is 122333201323. The reversal of 122333201321 is 123102333221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 102649111321 + 19684090000 = 320389^2 + 140300^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-122333201321 is a prime.

It is a super-2 number, since 2×122333201321² (a number of 23 digits) contains 22 as substring.

Together with 122333201323, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (122333201323) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61166600660 + 61166600661.

It is an arithmetic number, because the mean of its divisors is an integer number (61166600661).

Almost surely, 2^122333201321 is an apocalyptic number.

It is an amenable number.

122333201321 is a deficient number, since it is larger than the sum of its proper divisors (1).

122333201321 is an equidigital number, since it uses as much as digits as its factorization.

122333201321 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 122333201321 its reverse (123102333221), we get a palindrome (245435534542).

The spelling of 122333201321 in words is "one hundred twenty-two billion, three hundred thirty-three million, two hundred one thousand, three hundred twenty-one".