122001213333121 has 2 divisors, whose sum is σ = 122001213333122. Its totient is φ = 122001213333120.

The previous prime is 122001213333061. The next prime is 122001213333271. The reversal of 122001213333121 is 121333312100221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 115929128827521 + 6072084505600 = 10767039^2 + 2464160^2 .

It is a cyclic number.

It is not a de Polignac number, because 122001213333121 - 2²⁵ = 122001179778689 is a prime.

It is not a weakly prime, because it can be changed into another prime (122001213331121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61000606666560 + 61000606666561.

It is an arithmetic number, because the mean of its divisors is an integer number (61000606666561).

Almost surely, 2^{122001213333121} is an apocalyptic number.

It is an amenable number.

122001213333121 is a deficient number, since it is larger than the sum of its proper divisors (1).

122001213333121 is an equidigital number, since it uses as much as digits as its factorization.

122001213333121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1296, while the sum is 25.

Adding to 122001213333121 its reverse (121333312100221), we get a palindrome (243334525433342).

The spelling of 122001213333121 in words is "one hundred twenty-two trillion, one billion, two hundred thirteen million, three hundred thirty-three thousand, one hundred twenty-one".