122122120133161 has 2 divisors, whose sum is σ = 122122120133162. Its totient is φ = 122122120133160.

The previous prime is 122122120133129. The next prime is 122122120133191. The reversal of 122122120133161 is 161331021221221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 122106500132761 + 15620000400 = 11050181^2 + 124980^2 .

It is a cyclic number.

It is not a de Polignac number, because 122122120133161 - 2⁵ = 122122120133129 is a prime.

It is not a weakly prime, because it can be changed into another prime (122122120133191) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61061060066580 + 61061060066581.

It is an arithmetic number, because the mean of its divisors is an integer number (61061060066581).

Almost surely, 2^{122122120133161} is an apocalyptic number.

It is an amenable number.

122122120133161 is a deficient number, since it is larger than the sum of its proper divisors (1).

122122120133161 is an equidigital number, since it uses as much as digits as its factorization.

122122120133161 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 28.

Adding to 122122120133161 its reverse (161331021221221), we get a palindrome (283453141354382).

The spelling of 122122120133161 in words is "one hundred twenty-two trillion, one hundred twenty-two billion, one hundred twenty million, one hundred thirty-three thousand, one hundred sixty-one".