10002120320 has 64 divisors (see below), whose sum is σ = 24134954400. Its totient is φ = 3963429888.

The previous prime is 10002120313. The next prime is 10002120343. The reversal of 10002120320 is 2302120001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4550 + ... + 141509.

Almost surely, 2^10002120320 is an apocalyptic number.

10002120320 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 10002120320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12067477200).

10002120320 is an abundant number, since it is smaller than the sum of its proper divisors (14132834080).

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

10002120320 is a wasteful number, since it uses less digits than its factorization.

10002120320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146185 (or 146173 counting only the distinct ones).

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

Adding to 10002120320 its reverse (2302120001), we get a palindrome (12304240321).

The spelling of 10002120320 in words is "ten billion, two million, one hundred twenty thousand, three hundred twenty".