210011200 has 168 divisors, whose sum is σ = 625888512. Its totient is φ = 67706880.

The previous prime is 210011189. The next prime is 210011201. The reversal of 210011200 is 2110012.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is not an unprimeable number, because it can be changed into a prime (210011201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 189849 + ... + 190951.

Almost surely, 2^210011200 is an apocalyptic number.

210011200 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 210011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312944256).

210011200 is an abundant number, since it is smaller than the sum of its proper divisors (415877312).

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

210011200 is a wasteful number, since it uses less digits than its factorization.

210011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1149 (or 1134 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 210011200 is about 14491.7631777503. The cubic root of 210011200 is about 594.4027620608.

Adding to 210011200 its reverse (2110012), we get a palindrome (212121212).

It can be divided in two parts, 21001 and 1200, that added together give a square (22201 = 149²).

The spelling of 210011200 in words is "two hundred ten million, eleven thousand, two hundred".