204002310100 has 72 divisors (see below), whose sum is σ = 455170476600. Its totient is φ = 79314278400.

The previous prime is 204002310077. The next prime is 204002310137. The reversal of 204002310100 is 1013200402.

It can be written as a sum of positive squares in 12 ways, for example, as 138754760004 + 65247550096 = 372498^2 + 255436^2 .

It is a super-2 number, since 2×204002310100² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1010416 + ... + 1195384.

It is an arithmetic number, because the mean of its divisors is an integer number (6321812175).

Almost surely, 2^204002310100 is an apocalyptic number.

204002310100 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 204002310100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227585238300).

204002310100 is an abundant number, since it is smaller than the sum of its proper divisors (251168166500).

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

204002310100 is a wasteful number, since it uses less digits than its factorization.

204002310100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185293 (or 185286 counting only the distinct ones).

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

Adding to 204002310100 its reverse (1013200402), we get a palindrome (205015510502).

The spelling of 204002310100 in words is "two hundred four billion, two million, three hundred ten thousand, one hundred".