204213313100 has 72 divisors (see below), whose sum is σ = 463888955040. Its totient is φ = 77883886080.

The previous prime is 204213313063. The next prime is 204213313103. The reversal of 204213313100 is 1313312402.

It is a super-2 number, since 2×204213313100² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (204213313103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 578066 + ... + 861734.

Almost surely, 2^204213313100 is an apocalyptic number.

204213313100 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 204213313100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231944477520).

204213313100 is an abundant number, since it is smaller than the sum of its proper divisors (259675641940).

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

204213313100 is a wasteful number, since it uses less digits than its factorization.

204213313100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284019 (or 284012 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 204213313100 its reverse (1313312402), we get a palindrome (205526625502).

The spelling of 204213313100 in words is "two hundred four billion, two hundred thirteen million, three hundred thirteen thousand, one hundred".