122211210121201 has 2 divisors, whose sum is σ = 122211210121202. Its totient is φ = 122211210121200.

The previous prime is 122211210121177. The next prime is 122211210121207. The reversal of 122211210121201 is 102121012112221.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 121736246562225 + 474963558976 = 11033415^2 + 689176^2 .

It is a cyclic number.

It is not a de Polignac number, because 122211210121201 - 2³⁷ = 122073771167729 is a prime.

It is a super-2 number, since 2×122211210121201² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (122211210121207) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61105605060600 + 61105605060601.

It is an arithmetic number, because the mean of its divisors is an integer number (61105605060601).

Almost surely, 2^{122211210121201} is an apocalyptic number.

It is an amenable number.

122211210121201 is a deficient number, since it is larger than the sum of its proper divisors (1).

122211210121201 is an equidigital number, since it uses as much as digits as its factorization.

122211210121201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 122211210121201 its reverse (102121012112221), we get a palindrome (224332222233422).

The spelling of 122211210121201 in words is "one hundred twenty-two trillion, two hundred eleven billion, two hundred ten million, one hundred twenty-one thousand, two hundred one".