122122210120121 has 8 divisors (see below), whose sum is σ = 122138544465384. Its totient is φ = 122105876336640.

The previous prime is 122122210120109. The next prime is 122122210120139. The reversal of 122122210120121 is 121021012221221.

It can be written as a sum of positive squares in 4 ways, for example, as 68920065879721 + 53202144240400 = 8301811^2 + 7293980^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 122122210120121 - 2²⁶ = 122122143011257 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122122210120093 and 122122210120102.

It is not an unprimeable number, because it can be changed into a prime (122122210120151) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 599662505 + ... + 599866121.

It is an arithmetic number, because the mean of its divisors is an integer number (15267318058173).

Almost surely, 2^{122122210120121} is an apocalyptic number.

It is an amenable number.

122122210120121 is a deficient number, since it is larger than the sum of its proper divisors (16334345263).

122122210120121 is an equidigital number, since it uses as much as digits as its factorization.

122122210120121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280891.

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 122122210120121 its reverse (121021012221221), we get a palindrome (243143222341342).

The spelling of 122122210120121 in words is "one hundred twenty-two trillion, one hundred twenty-two billion, two hundred ten million, one hundred twenty thousand, one hundred twenty-one".