122201222013221 has 8 divisors (see below), whose sum is σ = 131693409327480. Its totient is φ = 112722190886592.

The previous prime is 122201222013217. The next prime is 122201222013259. The reversal of 122201222013221 is 122310222102221.

It can be written as a sum of positive squares in 4 ways, for example, as 105130929121 + 122096091084100 = 324239^2 + 11049710^2 .

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 122201222013221 - 2² = 122201222013217 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122201222033221) 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, 3289027610 + ... + 3289064763.

It is an arithmetic number, because the mean of its divisors is an integer number (16461676165935).

Almost surely, 2^{122201222013221} is an apocalyptic number.

It is an amenable number.

122201222013221 is a deficient number, since it is larger than the sum of its proper divisors (9492187314259).

122201222013221 is a wasteful number, since it uses less digits than its factorization.

122201222013221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6578093815.

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 122201222013221 its reverse (122310222102221), we get a palindrome (244511444115442).

The spelling of 122201222013221 in words is "one hundred twenty-two trillion, two hundred one billion, two hundred twenty-two million, thirteen thousand, two hundred twenty-one".