201221200200 has 192 divisors, whose sum is σ = 642046406400. Its totient is φ = 52110489600.

The previous prime is 201221200171. The next prime is 201221200217. The reversal of 201221200200 is 2002122102.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2856604 + ... + 2926196.

It is an arithmetic number, because the mean of its divisors is an integer number (3343991700).

Almost surely, 2^201221200200 is an apocalyptic number.

201221200200 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 201221200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321023203200).

201221200200 is an abundant number, since it is smaller than the sum of its proper divisors (440825206200).

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

201221200200 is a wasteful number, since it uses less digits than its factorization.

201221200200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69752 (or 69743 counting only the distinct ones).

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

Adding to 201221200200 its reverse (2002122102), we get a palindrome (203223322302).

The spelling of 201221200200 in words is "two hundred one billion, two hundred twenty-one million, two hundred thousand, two hundred".