211200020200 has 192 divisors, whose sum is σ = 563694390000. Its totient is φ = 72899543040.

The previous prime is 211200020177. The next prime is 211200020201. The reversal of 211200020200 is 2020002112.

It can be written as a sum of positive squares in 24 ways, for example, as 10848888964 + 200351131236 = 104158^2 + 447606^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (211200020201) 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, 6569766 + ... + 6601834.

Almost surely, 2^211200020200 is an apocalyptic number.

211200020200 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 211200020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281847195000).

211200020200 is an abundant number, since it is smaller than the sum of its proper divisors (352494369800).

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

211200020200 is a wasteful number, since it uses less digits than its factorization.

211200020200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32264 (or 32255 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 211200020200 its reverse (2020002112), we get a palindrome (213220022312).

The spelling of 211200020200 in words is "two hundred eleven billion, two hundred million, twenty thousand, two hundred".