211020200 has 48 divisors (see below), whose sum is σ = 492156000. Its totient is φ = 84144320.

The previous prime is 211020163. The next prime is 211020233. The reversal of 211020200 is 2020112.

211020200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 70331 + ... + 73269.

It is an arithmetic number, because the mean of its divisors is an integer number (10253250).

Almost surely, 2^211020200 is an apocalyptic number.

211020200 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 211020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246078000).

211020200 is an abundant number, since it is smaller than the sum of its proper divisors (281135800).

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

211020200 is a wasteful number, since it uses less digits than its factorization.

211020200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3314 (or 3305 counting only the distinct ones).

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

The square root of 211020200 is about 14526.5343423681. The cubic root of 211020200 is about 595.3531787337.

Adding to 211020200 its reverse (2020112), we get a palindrome (213040312).

The spelling of 211020200 in words is "two hundred eleven million, twenty thousand, two hundred".