122022101010181 has 2 divisors, whose sum is σ = 122022101010182. Its totient is φ = 122022101010180.

The previous prime is 122022101010143. The next prime is 122022101010209. The reversal of 122022101010181 is 181010101220221.

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., 91412548902081 + 30609552108100 = 9560991^2 + 5532590^2 .

It is a cyclic number.

It is not a de Polignac number, because 122022101010181 - 2⁷ = 122022101010053 is a prime.

It is a super-2 number, since 2×122022101010181² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122022101310181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61011050505090 + 61011050505091.

It is an arithmetic number, because the mean of its divisors is an integer number (61011050505091).

Almost surely, 2^{122022101010181} is an apocalyptic number.

It is an amenable number.

122022101010181 is a deficient number, since it is larger than the sum of its proper divisors (1).

122022101010181 is an equidigital number, since it uses as much as digits as its factorization.

122022101010181 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 122022101010181 in words is "one hundred twenty-two trillion, twenty-two billion, one hundred one million, ten thousand, one hundred eighty-one".