12211102210221 has 64 divisors (see below), whose sum is σ = 19192113907200. Its totient is φ = 7646905709568.

The previous prime is 12211102210199. The next prime is 12211102210249. The reversal of 12211102210221 is 12201220111221.

12211102210221 is a `hidden beast` number, since 1 + 2 + 211 + 10 + 221 + 0 + 221 = 666.

It is not a de Polignac number, because 12211102210221 - 2¹⁰ = 12211102209197 is a prime.

It is a super-2 number, since 2×12211102210221² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12211102210194 and 12211102210203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12211102210921) 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 63 ways as a sum of consecutive naturals, for example, 503974935 + ... + 503999163.

It is an arithmetic number, because the mean of its divisors is an integer number (299876779800).

Almost surely, 2^{12211102210221} is an apocalyptic number.

It is an amenable number.

12211102210221 is a deficient number, since it is larger than the sum of its proper divisors (6981011696979).

12211102210221 is a wasteful number, since it uses less digits than its factorization.

12211102210221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26355 (or 26349 counting only the distinct ones).

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

Adding to 12211102210221 its reverse (12201220111221), we get a palindrome (24412322321442).

The spelling of 12211102210221 in words is "twelve trillion, two hundred eleven billion, one hundred two million, two hundred ten thousand, two hundred twenty-one".