201221211000200 has 24 divisors (see below), whose sum is σ = 467839315575930. Its totient is φ = 80488484400000.

The previous prime is 201221211000127. The next prime is 201221211000209. The reversal of 201221211000200 is 2000112122102.

It can be written as a sum of positive squares in 3 ways, for example, as 139864162710724 + 61357048289476 = 11826418^2 + 7833074^2 .

It is not an unprimeable number, because it can be changed into a prime (201221211000209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 503053027301 + ... + 503053027700.

Almost surely, 2^{201221211000200} is an apocalyptic number.

201221211000200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201221211000200 is an abundant number, since it is smaller than the sum of its proper divisors (266618104575730).

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

201221211000200 is a wasteful number, since it uses less digits than its factorization.

201221211000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1006106055017 (or 1006106055008 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 201221211000200 its reverse (2000112122102), we get a palindrome (203221323122302).

The spelling of 201221211000200 in words is "two hundred one trillion, two hundred twenty-one billion, two hundred eleven million, two hundred", and thus it is an aban number.