122133122121121 has 2 divisors, whose sum is σ = 122133122121122. Its totient is φ = 122133122121120.

The previous prime is 122133122121103. The next prime is 122133122121139. The reversal of 122133122121121 is 121121221331221.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (122133122121103) and next prime (122133122121139).

It can be written as a sum of positive squares in only one way, i.e., 65288096811025 + 56845025310096 = 8080105^2 + 7539564^2 .

It is an emirp because it is prime and its reverse (121121221331221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 122133122121121 - 2³⁷ = 121995683167649 is a prime.

It is not a weakly prime, because it can be changed into another prime (122133122161121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61066561060560 + 61066561060561.

It is an arithmetic number, because the mean of its divisors is an integer number (61066561060561).

Almost surely, 2^{122133122121121} is an apocalyptic number.

It is an amenable number.

122133122121121 is a deficient number, since it is larger than the sum of its proper divisors (1).

122133122121121 is an equidigital number, since it uses as much as digits as its factorization.

122133122121121 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 576, while the sum is 25.

Adding to 122133122121121 its reverse (121121221331221), we get a palindrome (243254343452342).

The spelling of 122133122121121 in words is "one hundred twenty-two trillion, one hundred thirty-three billion, one hundred twenty-two million, one hundred twenty-one thousand, one hundred twenty-one".