201211200200 has 96 divisors (see below), whose sum is σ = 469697515560. Its totient is φ = 80161382400.

The previous prime is 201211200199. The next prime is 201211200217. The reversal of 201211200200 is 2002112102.

It is a happy number.

201211200200 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 42461547844 + 158749652356 = 206062^2 + 398434^2 .

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, 115571330 + ... + 115573070.

Almost surely, 2^201211200200 is an apocalyptic number.

201211200200 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 201211200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234848757780).

201211200200 is an abundant number, since it is smaller than the sum of its proper divisors (268486315360).

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

201211200200 is a wasteful number, since it uses less digits than its factorization.

201211200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3747 (or 3738 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 201211200200 its reverse (2002112102), we get a palindrome (203213312302).

The spelling of 201211200200 in words is "two hundred one billion, two hundred eleven million, two hundred thousand, two hundred".