10320002120 has 64 divisors (see below), whose sum is σ = 23524182000. Its totient is φ = 4074098688.

The previous prime is 10320002101. The next prime is 10320002123. The reversal of 10320002120 is 2120002301.

It is a happy number.

10320002120 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 8 ways, for example, as 190384804 + 10129617316 = 13798^2 + 100646^2 .

It is not an unprimeable number, because it can be changed into a prime (10320002123) 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 15 ways as a sum of consecutive naturals, for example, 2179916 + ... + 2184644.

Almost surely, 2^10320002120 is an apocalyptic number.

10320002120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10320002120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11762091000).

10320002120 is an abundant number, since it is smaller than the sum of its proper divisors (13204179880).

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

10320002120 is a wasteful number, since it uses less digits than its factorization.

10320002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5442 (or 5438 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 10320002120 its reverse (2120002301), we get a palindrome (12440004421).

The spelling of 10320002120 in words is "ten billion, three hundred twenty million, two thousand, one hundred twenty".