122112220221137 has 2 divisors, whose sum is σ = 122112220221138. Its totient is φ = 122112220221136.

The previous prime is 122112220221083. The next prime is 122112220221269. The reversal of 122112220221137 is 731122022211221.

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., 95498218637761 + 26614001583376 = 9772319^2 + 5158876^2 .

It is a cyclic number.

It is not a de Polignac number, because 122112220221137 - 2⁶ = 122112220221073 is a prime.

It is a super-2 number, since 2×122112220221137² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (122112220221037) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61056110110568 + 61056110110569.

It is an arithmetic number, because the mean of its divisors is an integer number (61056110110569).

Almost surely, 2^{122112220221137} is an apocalyptic number.

It is an amenable number.

122112220221137 is a deficient number, since it is larger than the sum of its proper divisors (1).

122112220221137 is an equidigital number, since it uses as much as digits as its factorization.

122112220221137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2688, while the sum is 29.

Adding to 122112220221137 its reverse (731122022211221), we get a palindrome (853234242432358).

The spelling of 122112220221137 in words is "one hundred twenty-two trillion, one hundred twelve billion, two hundred twenty million, two hundred twenty-one thousand, one hundred thirty-seven".