122201102081 has 2 divisors, whose sum is σ = 122201102082. Its totient is φ = 122201102080.

The previous prime is 122201102071. The next prime is 122201102083. The reversal of 122201102081 is 180201102221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 98480481856 + 23720620225 = 313816^2 + 154015^2 .

It is a cyclic number.

It is not a de Polignac number, because 122201102081 - 2²⁶ = 122133993217 is a prime.

It is a super-2 number, since 2×122201102081² (a number of 23 digits) contains 22 as substring.

Together with 122201102083, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (122201102083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61100551040 + 61100551041.

It is an arithmetic number, because the mean of its divisors is an integer number (61100551041).

Almost surely, 2^122201102081 is an apocalyptic number.

It is an amenable number.

122201102081 is a deficient number, since it is larger than the sum of its proper divisors (1).

122201102081 is an equidigital number, since it uses as much as digits as its factorization.

122201102081 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 20.

The spelling of 122201102081 in words is "one hundred twenty-two billion, two hundred one million, one hundred two thousand, eighty-one".