204201013000 has 64 divisors (see below), whose sum is σ = 478671476400. Its totient is φ = 81536627200.

The previous prime is 204201012979. The next prime is 204201013057. The reversal of 204201013000 is 310102402.

It can be written as a sum of positive squares in 8 ways, for example, as 4129090564 + 200071922436 = 64258^2 + 447294^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 389562 + ... + 748438.

Almost surely, 2^204201013000 is an apocalyptic number.

204201013000 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 204201013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239335738200).

204201013000 is an abundant number, since it is smaller than the sum of its proper divisors (274470463400).

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

204201013000 is a wasteful number, since it uses less digits than its factorization.

204201013000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359467 (or 359453 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 204201013000 its reverse (310102402), we get a palindrome (204511115402).

The spelling of 204201013000 in words is "two hundred four billion, two hundred one million, thirteen thousand".