10221112201221 has 12 divisors (see below), whose sum is σ = 14763915368748. Its totient is φ = 6814034816064.

The previous prime is 10221112201219. The next prime is 10221112201271. The reversal of 10221112201221 is 12210221112201.

10221112201221 is a `hidden beast` number, since 1 + 0 + 221 + 1 + 1 + 220 + 1 + 221 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4993052816196 + 5228059385025 = 2234514^2 + 2286495^2 .

It is not a de Polignac number, because 10221112201221 - 2¹ = 10221112201219 is a prime.

It is a super-2 number, since 2×10221112201221² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10221112201194 and 10221112201203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10221112201271) 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 11 ways as a sum of consecutive naturals, for example, 1669440 + ... + 4819673.

It is an arithmetic number, because the mean of its divisors is an integer number (1230326280729).

Almost surely, 2^{10221112201221} is an apocalyptic number.

It is an amenable number.

10221112201221 is a deficient number, since it is larger than the sum of its proper divisors (4542803167527).

10221112201221 is a wasteful number, since it uses less digits than its factorization.

10221112201221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6664132 (or 6664129 counting only the distinct ones).

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

Adding to 10221112201221 its reverse (12210221112201), we get a palindrome (22431333313422).

The spelling of 10221112201221 in words is "ten trillion, two hundred twenty-one billion, one hundred twelve million, two hundred one thousand, two hundred twenty-one".