122122112221121 has 2 divisors, whose sum is σ = 122122112221122. Its totient is φ = 122122112221120.

The previous prime is 122122112221091. The next prime is 122122112221157. The reversal of 122122112221121 is 121122211221221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 121150438730896 + 971673490225 = 11006836^2 + 985735^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-122122112221121 is a prime.

It is a super-2 number, since 2×122122112221121² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (122122112229121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61061056110560 + 61061056110561.

It is an arithmetic number, because the mean of its divisors is an integer number (61061056110561).

Almost surely, 2^{122122112221121} is an apocalyptic number.

It is an amenable number.

122122112221121 is a deficient number, since it is larger than the sum of its proper divisors (1).

122122112221121 is an equidigital number, since it uses as much as digits as its factorization.

122122112221121 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 256, while the sum is 23.

Adding to 122122112221121 its reverse (121122211221221), we get a palindrome (243244323442342).

The spelling of 122122112221121 in words is "one hundred twenty-two trillion, one hundred twenty-two billion, one hundred twelve million, two hundred twenty-one thousand, one hundred twenty-one".