100021003200 has 420 divisors, whose sum is σ = 368544302280. Its totient is φ = 26607605760.

The previous prime is 100021003193. The next prime is 100021003237. The reversal of 100021003200 is 2300120001.

It is a happy number.

It is a super-2 number, since 2×100021003200² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 79444171 + ... + 79445429.

It is an arithmetic number, because the mean of its divisors is an integer number (877486434).

Almost surely, 2^100021003200 is an apocalyptic number.

100021003200 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 100021003200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184272151140).

100021003200 is an abundant number, since it is smaller than the sum of its proper divisors (268523299080).

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

100021003200 is a wasteful number, since it uses less digits than its factorization.

100021003200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1906 (or 1882 counting only the distinct ones).

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

Adding to 100021003200 its reverse (2300120001), we get a palindrome (102321123201).

The spelling of 100021003200 in words is "one hundred billion, twenty-one million, three thousand, two hundred".