100303331200 has 192 divisors, whose sum is σ = 259707708000. Its totient is φ = 38205685760.

The previous prime is 100303331179. The next prime is 100303331203. The reversal of 100303331200 is 2133303001.

100303331200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100303331203) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 17145876 + ... + 17151724.

Almost surely, 2^100303331200 is an apocalyptic number.

100303331200 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 100303331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129853854000).

100303331200 is an abundant number, since it is smaller than the sum of its proper divisors (159404376800).

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

100303331200 is a wasteful number, since it uses less digits than its factorization.

100303331200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6129 (or 6112 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 16.

Adding to 100303331200 its reverse (2133303001), we get a palindrome (102436634201).

The spelling of 100303331200 in words is "one hundred billion, three hundred three million, three hundred thirty-one thousand, two hundred".