10002000330 has 192 divisors, whose sum is σ = 31370976000. Its totient is φ = 2159861760.

The previous prime is 10002000277. The next prime is 10002000341. The reversal of 10002000330 is 3300020001.

It is a happy number.

10002000330 is a nontrivial binomial coefficient, being equal to C(141436, 2).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5373600 + ... + 5375460.

It is an arithmetic number, because the mean of its divisors is an integer number (163390500).

Almost surely, 2^10002000330 is an apocalyptic number.

10002000330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10002000330 is the 141435-th triangular number and also the 70718-th hexagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10002000330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15685488000).

10002000330 is an abundant number, since it is smaller than the sum of its proper divisors (21368975670).

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

10002000330 is a wasteful number, since it uses less digits than its factorization.

10002000330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2349 (or 2346 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

Adding to 10002000330 its reverse (3300020001), we get a palindrome (13302020331).

The spelling of 10002000330 in words is "ten billion, two million, three hundred thirty", and thus it is an aban number.