122221213010321 has 2 divisors, whose sum is σ = 122221213010322. Its totient is φ = 122221213010320.

The previous prime is 122221213010261. The next prime is 122221213010339. The reversal of 122221213010321 is 123010312122221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 107134506336400 + 15086706673921 = 10350580^2 + 3884161^2 .

It is a cyclic number.

It is not a de Polignac number, because 122221213010321 - 2¹⁴ = 122221212993937 is a prime.

It is a super-3 number, since 3×122221213010321³ (a number of 43 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (122221213010371) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61110606505160 + 61110606505161.

It is an arithmetic number, because the mean of its divisors is an integer number (61110606505161).

Almost surely, 2^{122221213010321} is an apocalyptic number.

It is an amenable number.

122221213010321 is a deficient number, since it is larger than the sum of its proper divisors (1).

122221213010321 is an equidigital number, since it uses as much as digits as its factorization.

122221213010321 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 122221213010321 its reverse (123010312122221), we get a palindrome (245231525132542).

The spelling of 122221213010321 in words is "one hundred twenty-two trillion, two hundred twenty-one billion, two hundred thirteen million, ten thousand, three hundred twenty-one".