122102221011121 has 16 divisors (see below), whose sum is σ = 132722120195280. Its totient is φ = 111658626293760.

The previous prime is 122102221011103. The next prime is 122102221011161. The reversal of 122102221011121 is 121110122201221.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 47913197988096 + 74189023023025 = 6921936^2 + 8613305^2 .

It is not a de Polignac number, because 122102221011121 - 2⁷ = 122102221010993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122102221011161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16914006 + ... + 23027983.

It is an arithmetic number, because the mean of its divisors is an integer number (8295132512205).

Almost surely, 2^{122102221011121} is an apocalyptic number.

It is an amenable number.

122102221011121 is a deficient number, since it is larger than the sum of its proper divisors (10619899184159).

122102221011121 is a wasteful number, since it uses less digits than its factorization.

122102221011121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39944196.

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 122102221011121 its reverse (121110122201221), we get a palindrome (243212343212342).

The spelling of 122102221011121 in words is "one hundred twenty-two trillion, one hundred two billion, two hundred twenty-one million, eleven thousand, one hundred twenty-one".