200001100 has 72 divisors (see below), whose sum is σ = 487781280. Its totient is φ = 70625280.

The previous prime is 200001071. The next prime is 200001103. The reversal of 200001100 is 1100002.

It is a Harshad number since it is a multiple of its sum of digits (4).

200001100 is a modest number, since divided by 1100 gives 200 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 200001100.

It is not an unprimeable number, because it can be changed into a prime (200001103) 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, 26556 + ... + 33244.

It is an arithmetic number, because the mean of its divisors is an integer number (6774740).

Almost surely, 2^200001100 is an apocalyptic number.

200001100 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 200001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243890640).

200001100 is an abundant number, since it is smaller than the sum of its proper divisors (287780180).

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

200001100 is a wasteful number, since it uses less digits than its factorization.

200001100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6739 (or 6732 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 4.

The square root of 200001100 is about 14142.1745145504. The cubic root of 200001100 is about 584.8046197804.

Adding to 200001100 its reverse (1100002), we get a palindrome (201101102).

The spelling of 200001100 in words is "two hundred million, one thousand, one hundred".