122120221005137 has 2 divisors, whose sum is σ = 122120221005138. Its totient is φ = 122120221005136.

The previous prime is 122120221005131. The next prime is 122120221005151. The reversal of 122120221005137 is 731500122021221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 120020109926161 + 2100111078976 = 10955369^2 + 1449176^2 .

It is a cyclic number.

It is not a de Polignac number, because 122120221005137 - 2²⁰ = 122120219956561 is a prime.

It is not a weakly prime, because it can be changed into another prime (122120221005131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61060110502568 + 61060110502569.

It is an arithmetic number, because the mean of its divisors is an integer number (61060110502569).

Almost surely, 2^{122120221005137} is an apocalyptic number.

It is an amenable number.

122120221005137 is a deficient number, since it is larger than the sum of its proper divisors (1).

122120221005137 is an equidigital number, since it uses as much as digits as its factorization.

122120221005137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3360, while the sum is 29.

Adding to 122120221005137 its reverse (731500122021221), we get a palindrome (853620343026358).

The spelling of 122120221005137 in words is "one hundred twenty-two trillion, one hundred twenty billion, two hundred twenty-one million, five thousand, one hundred thirty-seven".