201221200 has 30 divisors (see below), whose sum is σ = 483434894. Its totient is φ = 80488320.

The previous prime is 201221183. The next prime is 201221203. The reversal of 201221200 is 2122102.

It can be written as a sum of positive squares in 3 ways, for example, as 35344 + 201185856 = 188^2 + 14184^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201221203) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 251127 + ... + 251926.

Almost surely, 2^201221200 is an apocalyptic number.

201221200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201221200 is an abundant number, since it is smaller than the sum of its proper divisors (282213694).

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

201221200 is a wasteful number, since it uses less digits than its factorization.

201221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503071 (or 503060 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 201221200 is about 14185.2458561704. The cubic root of 201221200 is about 585.9914033847.

Adding to 201221200 its reverse (2122102), we get a palindrome (203343302).

The spelling of 201221200 in words is "two hundred one million, two hundred twenty-one thousand, two hundred".