100321303200 has 144 divisors (see below), whose sum is σ = 330480785376. Its totient is φ = 26429977600.

The previous prime is 100321303111. The next prime is 100321303241. The reversal of 100321303200 is 2303123001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 100321303200.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52611 + ... + 451010.

It is an arithmetic number, because the mean of its divisors is an integer number (2295005454).

Almost surely, 2^100321303200 is an apocalyptic number.

100321303200 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 100321303200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165240392688).

100321303200 is an abundant number, since it is smaller than the sum of its proper divisors (230159482176).

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

100321303200 is a wasteful number, since it uses less digits than its factorization.

100321303200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503727 (or 503714 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 100321303200 its reverse (2303123001), we get a palindrome (102624426201).

The spelling of 100321303200 in words is "one hundred billion, three hundred twenty-one million, three hundred three thousand, two hundred".