100233130200 has 384 divisors, whose sum is σ = 361810176000. Its totient is φ = 22481971200.

The previous prime is 100233130199. The next prime is 100233130229. The reversal of 100233130200 is 2031332001.

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 100233130200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 60054966 + ... + 60056634.

It is an arithmetic number, because the mean of its divisors is an integer number (942214000).

Almost surely, 2^100233130200 is an apocalyptic number.

100233130200 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 100233130200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180905088000).

100233130200 is an abundant number, since it is smaller than the sum of its proper divisors (261577045800).

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

100233130200 is a wasteful number, since it uses less digits than its factorization.

100233130200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1955 (or 1946 counting only the distinct ones).

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

Adding to 100233130200 its reverse (2031332001), we get a palindrome (102264462201).

The spelling of 100233130200 in words is "one hundred billion, two hundred thirty-three million, one hundred thirty thousand, two hundred".