100201313300 has 288 divisors, whose sum is σ = 265921729920. Its totient is φ = 32333414400.

The previous prime is 100201313291. The next prime is 100201313353. The reversal of 100201313300 is 3313102001.

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, 23316752 + ... + 23321048.

It is an arithmetic number, because the mean of its divisors is an integer number (923339340).

Almost surely, 2^100201313300 is an apocalyptic number.

100201313300 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 100201313300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132960864960).

100201313300 is an abundant number, since it is smaller than the sum of its proper divisors (165720416620).

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

100201313300 is a wasteful number, since it uses less digits than its factorization.

100201313300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4411 (or 4404 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 100201313300 its reverse (3313102001), we get a palindrome (103514415301).

The spelling of 100201313300 in words is "one hundred billion, two hundred one million, three hundred thirteen thousand, three hundred".