122211221002201 has 2 divisors, whose sum is σ = 122211221002202. Its totient is φ = 122211221002200.

The previous prime is 122211221002181. The next prime is 122211221002243. The reversal of 122211221002201 is 102200122112221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 114212075870025 + 7999145132176 = 10687005^2 + 2828276^2 .

It is a cyclic number.

It is not a de Polignac number, because 122211221002201 - 2³⁵ = 122176861263833 is a prime.

It is not a weakly prime, because it can be changed into another prime (122211221002001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61105610501100 + 61105610501101.

It is an arithmetic number, because the mean of its divisors is an integer number (61105610501101).

Almost surely, 2^{122211221002201} is an apocalyptic number.

It is an amenable number.

122211221002201 is a deficient number, since it is larger than the sum of its proper divisors (1).

122211221002201 is an equidigital number, since it uses as much as digits as its factorization.

122211221002201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 122211221002201 its reverse (102200122112221), we get a palindrome (224411343114422).

The spelling of 122211221002201 in words is "one hundred twenty-two trillion, two hundred eleven billion, two hundred twenty-one million, two thousand, two hundred one".