122011221102201 has 24 divisors (see below), whose sum is σ = 177984420888456. Its totient is φ = 80534981894400.

The previous prime is 122011221102181. The next prime is 122011221102209. The reversal of 122011221102201 is 102201122110221.

122011221102201 is a `hidden beast` number, since 1 + 220 + 1 + 1 + 221 + 1 + 0 + 220 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 30114840314601 + 91896380787600 = 5487699^2 + 9586260^2 .

It is a de Polignac number, because none of the positive numbers 2^k-122011221102201 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122011221102209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 220185781 + ... + 220739213.

It is an arithmetic number, because the mean of its divisors is an integer number (7416017537019).

Almost surely, 2^{122011221102201} is an apocalyptic number.

It is an amenable number.

122011221102201 is a deficient number, since it is larger than the sum of its proper divisors (55973199786255).

122011221102201 is a wasteful number, since it uses less digits than its factorization.

122011221102201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 796073 (or 796070 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 122011221102201 its reverse (102201122110221), we get a palindrome (224212343212422).

It can be divided in two parts, 12201122110220 and 1, that added together give a palindrome (12201122110221).

The spelling of 122011221102201 in words is "one hundred twenty-two trillion, eleven billion, two hundred twenty-one million, one hundred two thousand, two hundred one".