204100130200400 has 180 divisors, whose sum is σ = 570932611331328. Its totient is φ = 69912803761920.

The previous prime is 204100130200289. The next prime is 204100130200433. The reversal of 204100130200400 is 4002031001402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 16515287 + ... + 26095113.

Almost surely, 2^{204100130200400} is an apocalyptic number.

204100130200400 is a gapful number since it is divisible by the number (20) 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 204100130200400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285466305665664).

204100130200400 is an abundant number, since it is smaller than the sum of its proper divisors (366832481130928).

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

204100130200400 is a wasteful number, since it uses less digits than its factorization.

204100130200400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9580946 (or 9580928 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 204100130200400 its reverse (4002031001402), we get a palindrome (208102161201802).

The spelling of 204100130200400 in words is "two hundred four trillion, one hundred billion, one hundred thirty million, two hundred thousand, four hundred".