211010200200 has 240 divisors, whose sum is σ = 758142742500. Its totient is φ = 54328942080.

The previous prime is 211010200187. The next prime is 211010200207. The reversal of 211010200200 is 2002010112.

It can be written as a sum of positive squares in 6 ways, for example, as 102967824996 + 108042375204 = 320886^2 + 328698^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (211010200207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 245226 + ... + 694374.

Almost surely, 2^211010200200 is an apocalyptic number.

211010200200 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 211010200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379071371250).

211010200200 is an abundant number, since it is smaller than the sum of its proper divisors (547132542300).

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

211010200200 is a wasteful number, since it uses less digits than its factorization.

211010200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449206 (or 449188 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 211010200200 its reverse (2002010112), we get a palindrome (213012210312).

The spelling of 211010200200 in words is "two hundred eleven billion, ten million, two hundred thousand, two hundred".