200100200 has 96 divisors (see below), whose sum is σ = 496675800. Its totient is φ = 74711040.

The previous prime is 200100193. The next prime is 200100209. The reversal of 200100200 is 2001002.

It can be written as a sum of positive squares in 12 ways, for example, as 139665124 + 60435076 = 11818^2 + 7774^2 .

It is a Harshad number since it is a multiple of its sum of digits (5).

It is not an unprimeable number, because it can be changed into a prime (200100209) 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, 778472 + ... + 778728.

Almost surely, 2^200100200 is an apocalyptic number.

200100200 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 200100200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248337900).

200100200 is an abundant number, since it is smaller than the sum of its proper divisors (296575600).

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

200100200 is a wasteful number, since it uses less digits than its factorization.

200100200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 5.

The square root of 200100200 is about 14145.6777851045. The cubic root of 200100200 is about 584.9011935300.

Adding to 200100200 its reverse (2001002), we get a palindrome (202101202).

Multiplying 200100200 by its reverse (2001002), we get a square (400400900400400 = 20010020²).

200100200 divided by its reverse (2001002) gives a square (100 = 10²).

The spelling of 200100200 in words is "two hundred million, one hundred thousand, two hundred".