122201220201121 has 8 divisors (see below), whose sum is σ = 129498349415400. Its totient is φ = 115109643922560.

The previous prime is 122201220201091. The next prime is 122201220201149. The reversal of 122201220201121 is 121102022102221.

It can be written as a sum of positive squares in 4 ways, for example, as 3419318739600 + 118781901461521 = 1849140^2 + 10898711^2 .

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 122201220201121 - 2⁷ = 122201220200993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122201220201821) 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, 51388232706 + ... + 51388235083.

It is an arithmetic number, because the mean of its divisors is an integer number (16187293676925).

Almost surely, 2^{122201220201121} is an apocalyptic number.

It is an amenable number.

122201220201121 is a deficient number, since it is larger than the sum of its proper divisors (7297129214279).

122201220201121 is a wasteful number, since it uses less digits than its factorization.

122201220201121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102776467859.

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 122201220201121 its reverse (121102022102221), we get a palindrome (243303242303342).

The spelling of 122201220201121 in words is "one hundred twenty-two trillion, two hundred one billion, two hundred twenty million, two hundred one thousand, one hundred twenty-one".