122113220321 has 2 divisors, whose sum is σ = 122113220322. Its totient is φ = 122113220320.

The previous prime is 122113220303. The next prime is 122113220323. The reversal of 122113220321 is 123022311221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 115046464225 + 7066756096 = 339185^2 + 84064^2 .

It is a cyclic number.

It is not a de Polignac number, because 122113220321 - 2¹⁰ = 122113219297 is a prime.

Together with 122113220323, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 122113220293 and 122113220302.

It is not a weakly prime, because it can be changed into another prime (122113220323) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61056610160 + 61056610161.

It is an arithmetic number, because the mean of its divisors is an integer number (61056610161).

Almost surely, 2^122113220321 is an apocalyptic number.

It is an amenable number.

122113220321 is a deficient number, since it is larger than the sum of its proper divisors (1).

122113220321 is an equidigital number, since it uses as much as digits as its factorization.

122113220321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 122113220321 its reverse (123022311221), we get a palindrome (245135531542).

The spelling of 122113220321 in words is "one hundred twenty-two billion, one hundred thirteen million, two hundred twenty thousand, three hundred twenty-one".