201210220200 has 384 divisors, whose sum is σ = 694266992640. Its totient is φ = 47794560000.

The previous prime is 201210220187. The next prime is 201210220247. The reversal of 201210220200 is 2022012102.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 125207797 + ... + 125209403.

It is an arithmetic number, because the mean of its divisors is an integer number (1807986960).

Almost surely, 2^201210220200 is an apocalyptic number.

201210220200 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 201210220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347133496320).

201210220200 is an abundant number, since it is smaller than the sum of its proper divisors (493056772440).

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

201210220200 is a wasteful number, since it uses less digits than its factorization.

201210220200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2009 (or 2000 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 201210220200 its reverse (2022012102), we get a palindrome (203232232302).

It can be divided in two parts, 2012102 and 20200, that added together give a palindrome (2032302).

The spelling of 201210220200 in words is "two hundred one billion, two hundred ten million, two hundred twenty thousand, two hundred".