201200221000200 has 384 divisors, whose sum is σ = 657747257731200. Its totient is φ = 50736752640000.

The previous prime is 201200221000189. The next prime is 201200221000231. The reversal of 201200221000200 is 2000122002102.

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 95 ways as a sum of consecutive naturals, for example, 37727396734 + ... + 37727402066.

It is an arithmetic number, because the mean of its divisors is an integer number (1712883483675).

Almost surely, 2^{201200221000200} is an apocalyptic number.

201200221000200 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 201200221000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328873628865600).

201200221000200 is an abundant number, since it is smaller than the sum of its proper divisors (456547036731000).

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

201200221000200 is a wasteful number, since it uses less digits than its factorization.

201200221000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10793 (or 10784 counting only the distinct ones).

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

Adding to 201200221000200 its reverse (2000122002102), we get a palindrome (203200343002302).

The spelling of 201200221000200 in words is "two hundred one trillion, two hundred billion, two hundred twenty-one million, two hundred", and thus it is an aban number.