200101200 has 240 divisors, whose sum is σ = 702621696. Its totient is φ = 48384000.

The previous prime is 200101193. The next prime is 200101207. The reversal of 200101200 is 2101002.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (200101193) and next prime (200101207).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200101207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1575537 + ... + 1575663.

Almost surely, 2^200101200 is an apocalyptic number.

200101200 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 200101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351310848).

200101200 is an abundant number, since it is smaller than the sum of its proper divisors (502520496).

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

200101200 is a wasteful number, since it uses less digits than its factorization.

200101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 200101200 is about 14145.7131315462. The cubic root of 200101200 is about 584.9021678755.

Adding to 200101200 its reverse (2101002), we get a palindrome (202202202).

The spelling of 200101200 in words is "two hundred million, one hundred one thousand, two hundred".