10312202210221 has 36 divisors (see below), whose sum is σ = 11122648341844. Its totient is φ = 9558828195840.

The previous prime is 10312202210173. The next prime is 10312202210281. The reversal of 10312202210221 is 12201220221301.

It can be written as a sum of positive squares in 6 ways, for example, as 47387194596 + 10264815015625 = 217686^2 + 3203875^2 .

It is not a de Polignac number, because 10312202210221 - 2³³ = 10303612275629 is a prime.

It is a super-3 number, since 3×10312202210221³ (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10312202210281) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1627297165 + ... + 1627303501.

Almost surely, 2^{10312202210221} is an apocalyptic number.

It is an amenable number.

10312202210221 is a deficient number, since it is larger than the sum of its proper divisors (810446131623).

10312202210221 is an equidigital number, since it uses as much as digits as its factorization.

10312202210221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7630 (or 7542 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 10312202210221 its reverse (12201220221301), we get a palindrome (22513422431522).

The spelling of 10312202210221 in words is "ten trillion, three hundred twelve billion, two hundred two million, two hundred ten thousand, two hundred twenty-one".