122120121021181 has 2 divisors, whose sum is σ = 122120121021182. Its totient is φ = 122120121021180.

The previous prime is 122120121021131. The next prime is 122120121021247. The reversal of 122120121021181 is 181120121021221.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 101879569918681 + 20240551102500 = 10093541^2 + 4498950^2 .

It is a cyclic number.

It is not a de Polignac number, because 122120121021181 - 2²⁷ = 122119986803453 is a prime.

It is a super-2 number, since 2×122120121021181² (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 (122120121021131) 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, 61060060510590 + 61060060510591.

It is an arithmetic number, because the mean of its divisors is an integer number (61060060510591).

Almost surely, 2^{122120121021181} is an apocalyptic number.

It is an amenable number.

122120121021181 is a deficient number, since it is larger than the sum of its proper divisors (1).

122120121021181 is an equidigital number, since it uses as much as digits as its factorization.

122120121021181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 256, while the sum is 25.

The spelling of 122120121021181 in words is "one hundred twenty-two trillion, one hundred twenty billion, one hundred twenty-one million, twenty-one thousand, one hundred eighty-one".