122201211001081 has 2 divisors, whose sum is σ = 122201211001082. Its totient is φ = 122201211001080.

The previous prime is 122201211001043. The next prime is 122201211001087. The reversal of 122201211001081 is 180100112102221.

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., 62791107239056 + 59410103762025 = 7924084^2 + 7707795^2 .

It is a cyclic number.

It is not a de Polignac number, because 122201211001081 - 2¹¹ = 122201210999033 is a prime.

It is a super-2 number, since 2×122201211001081² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (122201211001087) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61100605500540 + 61100605500541.

It is an arithmetic number, because the mean of its divisors is an integer number (61100605500541).

Almost surely, 2^{122201211001081} is an apocalyptic number.

It is an amenable number.

122201211001081 is a deficient number, since it is larger than the sum of its proper divisors (1).

122201211001081 is an equidigital number, since it uses as much as digits as its factorization.

122201211001081 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 22.

The spelling of 122201211001081 in words is "one hundred twenty-two trillion, two hundred one billion, two hundred eleven million, one thousand, eighty-one".