122211012112201 has 2 divisors, whose sum is σ = 122211012112202. Its totient is φ = 122211012112200.

The previous prime is 122211012112159. The next prime is 122211012112223. The reversal of 122211012112201 is 102211210112221.

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., 118483116150025 + 3727895962176 = 10884995^2 + 1930776^2 .

It is a cyclic number.

It is not a de Polignac number, because 122211012112201 - 2⁷ = 122211012112073 is a prime.

It is not a weakly prime, because it can be changed into another prime (122211012112901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61105506056100 + 61105506056101.

It is an arithmetic number, because the mean of its divisors is an integer number (61105506056101).

Almost surely, 2^{122211012112201} is an apocalyptic number.

It is an amenable number.

122211012112201 is a deficient number, since it is larger than the sum of its proper divisors (1).

122211012112201 is an equidigital number, since it uses as much as digits as its factorization.

122211012112201 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 122211012112201 its reverse (102211210112221), we get a palindrome (224422222224422).

The spelling of 122211012112201 in words is "one hundred twenty-two trillion, two hundred eleven billion, twelve million, one hundred twelve thousand, two hundred one".