122100133321 has 2 divisors, whose sum is σ = 122100133322. Its totient is φ = 122100133320.

The previous prime is 122100133303. The next prime is 122100133343. The reversal of 122100133321 is 123331001221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 119879367696 + 2220765625 = 346236^2 + 47125^2 .

It is an emirp because it is prime and its reverse (123331001221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 122100133321 - 2⁷ = 122100133193 is a prime.

It is not a weakly prime, because it can be changed into another prime (122100133361) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61050066660 + 61050066661.

It is an arithmetic number, because the mean of its divisors is an integer number (61050066661).

Almost surely, 2^122100133321 is an apocalyptic number.

It is an amenable number.

122100133321 is a deficient number, since it is larger than the sum of its proper divisors (1).

122100133321 is an equidigital number, since it uses as much as digits as its factorization.

122100133321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 122100133321 its reverse (123331001221), we get a palindrome (245431134542).

The spelling of 122100133321 in words is "one hundred twenty-two billion, one hundred million, one hundred thirty-three thousand, three hundred twenty-one".