10220132321 has 6 divisors (see below), whose sum is σ = 11888725410. Its totient is φ = 8760113376.

The previous prime is 10220132311. The next prime is 10220132323. The reversal of 10220132321 is 12323102201.

10220132321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 7623210721 + 2596921600 = 87311^2 + 50960^2 .

It is a de Polignac number, because none of the positive numbers 2^k-10220132321 is a prime.

It is a super-2 number, since 2×10220132321² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10220132321.

It is not an unprimeable number, because it can be changed into a prime (10220132323) 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 5 ways as a sum of consecutive naturals, for example, 104287016 + ... + 104287113.

It is an arithmetic number, because the mean of its divisors is an integer number (1981454235).

Almost surely, 2^10220132321 is an apocalyptic number.

It is an amenable number.

10220132321 is a deficient number, since it is larger than the sum of its proper divisors (1668593089).

10220132321 is an equidigital number, since it uses as much as digits as its factorization.

10220132321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208574143 (or 208574136 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 10220132321 its reverse (12323102201), we get a palindrome (22543234522).

The spelling of 10220132321 in words is "ten billion, two hundred twenty million, one hundred thirty-two thousand, three hundred twenty-one".