22112102011221 has 48 divisors (see below), whose sum is σ = 35110964818800. Its totient is φ = 13347476158464.

The previous prime is 22112102011211. The next prime is 22112102011249. The reversal of 22112102011221 is 12211020121122.

22112102011221 is a `hidden beast` number, since 2 + 211 + 210 + 20 + 1 + 1 + 221 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 71189710596 + 22040912300625 = 266814^2 + 4694775^2 .

It is not a de Polignac number, because 22112102011221 - 2¹⁵ = 22112101978453 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 22112102011194 and 22112102011203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22112102011211) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7766566 + ... + 10224663.

It is an arithmetic number, because the mean of its divisors is an integer number (731478433725).

Almost surely, 2^{22112102011221} is an apocalyptic number.

It is an amenable number.

22112102011221 is a deficient number, since it is larger than the sum of its proper divisors (12998862807579).

22112102011221 is a wasteful number, since it uses less digits than its factorization.

22112102011221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17991558 (or 17991555 counting only the distinct ones).

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

Adding to 22112102011221 its reverse (12211020121122), we get a palindrome (34323122132343).

The spelling of 22112102011221 in words is "twenty-two trillion, one hundred twelve billion, one hundred two million, eleven thousand, two hundred twenty-one".