211200210200200 has 72 divisors (see below), whose sum is σ = 531718399108350. Its totient is φ = 77981616061440.

The previous prime is 211200210200197. The next prime is 211200210200209. The reversal of 211200210200200 is 2002012002112.

It is a happy number.

It can be written as a sum of positive squares in 9 ways, for example, as 17459477830116 + 193740732370084 = 4178454^2 + 13919078^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (211200210200209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3124229665 + ... + 3124297264.

Almost surely, 2^{211200210200200} is an apocalyptic number.

211200210200200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211200210200200 is an abundant number, since it is smaller than the sum of its proper divisors (320518188908150).

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

211200210200200 is a wasteful number, since it uses less digits than its factorization.

211200210200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6248526971 (or 6248526949 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 211200210200200 its reverse (2002012002112), we get a palindrome (213202222202312).

The spelling of 211200210200200 in words is "two hundred eleven trillion, two hundred billion, two hundred ten million, two hundred thousand, two hundred".