10330021120 has 72 divisors (see below), whose sum is σ = 25412491944. Its totient is φ = 4020314112.

The previous prime is 10330021063. The next prime is 10330021139. The reversal of 10330021120 is 2112003301.

10330021120 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 4 ways, for example, as 6091490304 + 4238530816 = 78048^2 + 65104^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 10330021120.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 61699 + ... + 156418.

It is an arithmetic number, because the mean of its divisors is an integer number (352951277).

Almost surely, 2^10330021120 is an apocalyptic number.

10330021120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10330021120 is an abundant number, since it is smaller than the sum of its proper divisors (15082470824).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10330021120 is an equidigital number, since it uses as much as digits as its factorization.

10330021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218175 (or 218161 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 10330021120 its reverse (2112003301), we get a palindrome (12442024421).

The spelling of 10330021120 in words is "ten billion, three hundred thirty million, twenty-one thousand, one hundred twenty".