10021003872 has 192 divisors, whose sum is σ = 30886023168. Its totient is φ = 2810880000.

The previous prime is 10021003841. The next prime is 10021003879. The reversal of 10021003872 is 27830012001.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10021003879) 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, 1090497 + ... + 1099647.

It is an arithmetic number, because the mean of its divisors is an integer number (160864704).

Almost surely, 2^10021003872 is an apocalyptic number.

10021003872 is a gapful number since it is divisible by the number (12) 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 10021003872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15443011584).

10021003872 is an abundant number, since it is smaller than the sum of its proper divisors (20865019296).

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

10021003872 is a wasteful number, since it uses less digits than its factorization.

10021003872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9253 (or 9245 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

Adding to 10021003872 its reverse (27830012001), we get a palindrome (37851015873).

The spelling of 10021003872 in words is "ten billion, twenty-one million, three thousand, eight hundred seventy-two".