2122201120113 has 6 divisors (see below), whose sum is σ = 3065401617954. Its totient is φ = 1414800746736.

The previous prime is 2122201120093. The next prime is 2122201120121. The reversal of 2122201120113 is 3110211022212.

2122201120113 is a `hidden beast` number, since 212 + 220 + 1 + 120 + 113 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2102766808464 + 19434311649 = 1450092^2 + 139407^2 .

It is not a de Polignac number, because 2122201120113 - 2⁶ = 2122201120049 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2122201122113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 117900062220 + ... + 117900062237.

It is an arithmetic number, because the mean of its divisors is an integer number (510900269659).

Almost surely, 2^{2122201120113} is an apocalyptic number.

It is an amenable number.

2122201120113 is a deficient number, since it is larger than the sum of its proper divisors (943200497841).

2122201120113 is a wasteful number, since it uses less digits than its factorization.

2122201120113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235800124463 (or 235800124460 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 2122201120113 its reverse (3110211022212), we get a palindrome (5232412142325).

The spelling of 2122201120113 in words is "two trillion, one hundred twenty-two billion, two hundred one million, one hundred twenty thousand, one hundred thirteen".