10020032001000 has 288 divisors, whose sum is σ = 39397131638280. Its totient is φ = 2290292928000.

The previous prime is 10020032000999. The next prime is 10020032001013. The reversal of 10020032001000 is 10023002001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4780318723236 + 5239713277764 = 2186394^2 + 2289042^2 .

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10919581 + ... + 11801580.

Almost surely, 2^{10020032001000} is an apocalyptic number.

10020032001000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10020032001000 is an abundant number, since it is smaller than the sum of its proper divisors (29377099637280).

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

10020032001000 is a wasteful number, since it uses less digits than its factorization.

10020032001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22721202 (or 22721178 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 10020032001000 its reverse (10023002001), we get a palindrome (10030055003001).

It can be divided in two parts, 1002003 and 2001000, that added together give a palindrome (3003003).

The spelling of 10020032001000 in words is "ten trillion, twenty billion, thirty-two million, one thousand".