10201330000 has 150 divisors (see below), whose sum is σ = 25600566134. Its totient is φ = 3936576000.

The previous prime is 10201329989. The next prime is 10201330003. The reversal of 10201330000 is 3310201.

It can be written as a sum of positive squares in 15 ways, for example, as 9949663504 + 251666496 = 99748^2 + 15864^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10201330003) by changing a digit.

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 29 ways as a sum of consecutive naturals, for example, 8409394 + ... + 8410606.

Almost surely, 2^10201330000 is an apocalyptic number.

10201330000 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 10201330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12800283067).

10201330000 is an abundant number, since it is smaller than the sum of its proper divisors (15399236134).

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

10201330000 is an equidigital number, since it uses as much as digits as its factorization.

10201330000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1299 (or 1249 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

Adding to 10201330000 its reverse (3310201), we get a palindrome (10204640201).

The spelling of 10201330000 in words is "ten billion, two hundred one million, three hundred thirty thousand".