10221313221 has 48 divisors (see below), whose sum is σ = 17388633600. Its totient is φ = 5782744800.

The previous prime is 10221313213. The next prime is 10221313231. The reversal of 10221313221 is 12231312201.

10221313221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10221313221 - 2³ = 10221313213 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10221313194 and 10221313203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10221313231) 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, 295396 + ... + 328178.

It is an arithmetic number, because the mean of its divisors is an integer number (362263200).

Almost surely, 2^10221313221 is an apocalyptic number.

It is an amenable number.

10221313221 is a deficient number, since it is larger than the sum of its proper divisors (7167320379).

10221313221 is a wasteful number, since it uses less digits than its factorization.

10221313221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32911 (or 32894 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10221313221 its reverse (12231312201), we get a palindrome (22452625422).

The spelling of 10221313221 in words is "ten billion, two hundred twenty-one million, three hundred thirteen thousand, two hundred twenty-one".