100303332100 has 72 divisors (see below), whose sum is σ = 222005665728. Its totient is φ = 39321609600.

The previous prime is 100303332089. The next prime is 100303332163. The reversal of 100303332100 is 1233303001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5115315 + ... + 5134885.

It is an arithmetic number, because the mean of its divisors is an integer number (3083412024).

Almost surely, 2^100303332100 is an apocalyptic number.

100303332100 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 100303332100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111002832864).

100303332100 is an abundant number, since it is smaller than the sum of its proper divisors (121702333628).

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

100303332100 is a wasteful number, since it uses less digits than its factorization.

100303332100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20605 (or 20598 counting only the distinct ones).

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

Adding to 100303332100 its reverse (1233303001), we get a palindrome (101536635101).

The spelling of 100303332100 in words is "one hundred billion, three hundred three million, three hundred thirty-two thousand, one hundred".