22001122102221 has 48 divisors (see below), whose sum is σ = 32454572567040. Its totient is φ = 14358818419200.

The previous prime is 22001122102181. The next prime is 22001122102237. The reversal of 22001122102221 is 12220122110022.

It is a happy number.

22001122102221 is a `hidden beast` number, since 220 + 0 + 1 + 1 + 221 + 0 + 2 + 221 = 666.

It is not a de Polignac number, because 22001122102221 - 2¹⁸ = 22001121840077 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 22001122102194 and 22001122102203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22001122102291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 847781796 + ... + 847807746.

It is an arithmetic number, because the mean of its divisors is an integer number (676136928480).

Almost surely, 2^{22001122102221} is an apocalyptic number.

It is an amenable number.

22001122102221 is a deficient number, since it is larger than the sum of its proper divisors (10453450464819).

22001122102221 is a wasteful number, since it uses less digits than its factorization.

22001122102221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35586 (or 35583 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 22001122102221 its reverse (12220122110022), we get a palindrome (34221244212243).

The spelling of 22001122102221 in words is "twenty-two trillion, one billion, one hundred twenty-two million, one hundred two thousand, two hundred twenty-one".