210112200 has 144 divisors (see below), whose sum is σ = 712560420. Its totient is φ = 55480320.

The previous prime is 210112183. The next prime is 210112207. The reversal of 210112200 is 2211012.

210112200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 70257924 + 139854276 = 8382^2 + 11826^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (210112207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 202884 + ... + 203916.

Almost surely, 2^210112200 is an apocalyptic number.

210112200 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 210112200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356280210).

210112200 is an abundant number, since it is smaller than the sum of its proper divisors (502448220).

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

210112200 is a wasteful number, since it uses less digits than its factorization.

210112200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1168 (or 1156 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 210112200 is about 14495.2474970247. The cubic root of 210112200 is about 594.4980348486.

Adding to 210112200 its reverse (2211012), we get a palindrome (212323212).

The spelling of 210112200 in words is "two hundred ten million, one hundred twelve thousand, two hundred".