122120321201 has 2 divisors, whose sum is σ = 122120321202. Its totient is φ = 122120321200.

The previous prime is 122120321123. The next prime is 122120321203. The reversal of 122120321201 is 102123021221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 116816986225 + 5303334976 = 341785^2 + 72824^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-122120321201 is a prime.

Together with 122120321203, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 122120321201.

It is not a weakly prime, because it can be changed into another prime (122120321203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61060160600 + 61060160601.

It is an arithmetic number, because the mean of its divisors is an integer number (61060160601).

Almost surely, 2^122120321201 is an apocalyptic number.

It is an amenable number.

122120321201 is a deficient number, since it is larger than the sum of its proper divisors (1).

122120321201 is an equidigital number, since it uses as much as digits as its factorization.

122120321201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 122120321201 its reverse (102123021221), we get a palindrome (224243342422).

The spelling of 122120321201 in words is "one hundred twenty-two billion, one hundred twenty million, three hundred twenty-one thousand, two hundred one".