211131300200 has 96 divisors (see below), whose sum is σ = 496935437400. Its totient is φ = 83412848640.

The previous prime is 211131300179. The next prime is 211131300223. The reversal of 211131300200 is 2003131112.

211131300200 is digitally balanced in base 2, 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 12 ways, for example, as 75791191204 + 135340108996 = 275302^2 + 367886^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17740652 + ... + 17752548.

Almost surely, 2^211131300200 is an apocalyptic number.

211131300200 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 211131300200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248467718700).

211131300200 is an abundant number, since it is smaller than the sum of its proper divisors (285804137200).

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

211131300200 is a wasteful number, since it uses less digits than its factorization.

211131300200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12999 (or 12990 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 211131300200 its reverse (2003131112), we get a palindrome (213134431312).

The spelling of 211131300200 in words is "two hundred eleven billion, one hundred thirty-one million, three hundred thousand, two hundred".