10001032000 has 224 divisors, whose sum is σ = 26452348416. Its totient is φ = 3732480000.

The previous prime is 10001031979. The next prime is 10001032007. The reversal of 10001032000 is 23010001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001032007) 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 31 ways as a sum of consecutive naturals, for example, 20535757 + ... + 20536243.

Almost surely, 2^10001032000 is an apocalyptic number.

10001032000 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 10001032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13226174208).

10001032000 is an abundant number, since it is smaller than the sum of its proper divisors (16451316416).

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

10001032000 is a wasteful number, since it uses less digits than its factorization.

10001032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 7.

Adding to 10001032000 its reverse (23010001), we get a palindrome (10024042001).

The spelling of 10001032000 in words is "ten billion, one million, thirty-two thousand".