122120221002137 has 2 divisors, whose sum is σ = 122120221002138. Its totient is φ = 122120221002136.

The previous prime is 122120221002083. The next prime is 122120221002179. The reversal of 122120221002137 is 731200122021221.

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., 117333003905296 + 4787217096841 = 10832036^2 + 2187971^2 .

It is a cyclic number.

It is not a de Polignac number, because 122120221002137 - 2¹⁰ = 122120221001113 is a prime.

It is a super-2 number, since 2×122120221002137² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (122120221005137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61060110501068 + 61060110501069.

It is an arithmetic number, because the mean of its divisors is an integer number (61060110501069).

Almost surely, 2^{122120221002137} is an apocalyptic number.

It is an amenable number.

122120221002137 is a deficient number, since it is larger than the sum of its proper divisors (1).

122120221002137 is an equidigital number, since it uses as much as digits as its factorization.

122120221002137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1344, while the sum is 26.

Adding to 122120221002137 its reverse (731200122021221), we get a palindrome (853320343023358).

The spelling of 122120221002137 in words is "one hundred twenty-two trillion, one hundred twenty billion, two hundred twenty-one million, two thousand, one hundred thirty-seven".