122201101102221 has 24 divisors (see below), whose sum is σ = 176901248160000. Its totient is φ = 81288110101632.

The previous prime is 122201101102217. The next prime is 122201101102231.

122201101102221 is a `hidden beast` number, since 1 + 2 + 220 + 110 + 110 + 2 + 221 = 666.

122201101102221 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 122201101102221 - 2² = 122201101102217 is a prime.

It is a super-2 number, since 2×122201101102221² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122201101102194 and 122201101102203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122201101102231) 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 23 ways as a sum of consecutive naturals, for example, 36546370 + ... + 39749708.

It is an arithmetic number, because the mean of its divisors is an integer number (7370885340000).

Almost surely, 2^{122201101102221} is an apocalyptic number.

It is an amenable number.

122201101102221 is a deficient number, since it is larger than the sum of its proper divisors (54700147057779).

122201101102221 is a wasteful number, since it uses less digits than its factorization.

122201101102221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3212673 (or 3212670 counting only the distinct ones).

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

It can be divided in two parts, 12220110 and 1102221, that added together give a palindrome (13322331).

The spelling of 122201101102221 in words is "one hundred twenty-two trillion, two hundred one billion, one hundred one million, one hundred two thousand, two hundred twenty-one".