210201200 has 180 divisors, whose sum is σ = 573624744. Its totient is φ = 73920000.

The previous prime is 210201197. The next prime is 210201203. The reversal of 210201200 is 2102012.

It is an interprime number because it is at equal distance from previous prime (210201197) and next prime (210201203).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210201203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2081150 + ... + 2081250.

Almost surely, 2^210201200 is an apocalyptic number.

210201200 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 210201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286812372).

210201200 is an abundant number, since it is smaller than the sum of its proper divisors (363423544).

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

210201200 is a wasteful number, since it uses less digits than its factorization.

210201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 162 counting only the distinct ones).

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

The square root of 210201200 is about 14498.3171437240. The cubic root of 210201200 is about 594.5819627947.

Adding to 210201200 its reverse (2102012), we get a palindrome (212303212).

Multiplying 210201200 by its reverse (2102012), we get a square (441845444814400 = 21020120²).

210201200 divided by its reverse (2102012) gives a square (100 = 10²).

The spelling of 210201200 in words is "two hundred ten million, two hundred one thousand, two hundred".