201221021211200 has 84 divisors (see below), whose sum is σ = 495149101495092. Its totient is φ = 80485218048000.

The previous prime is 201221021211187. The next prime is 201221021211239. The reversal of 201221021211200 is 2112120122102.

It can be written as a sum of positive squares in 6 ways, for example, as 41055594911296 + 160165426299904 = 6407464^2 + 12655648^2 .

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 38091350 + ... + 43051050.

Almost surely, 2^{201221021211200} is an apocalyptic number.

201221021211200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201221021211200 is an abundant number, since it is smaller than the sum of its proper divisors (293928080283892).

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

201221021211200 is a wasteful number, since it uses less digits than its factorization.

201221021211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4985080 (or 4985065 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 201221021211200 its reverse (2112120122102), we get a palindrome (203333141333302).

The spelling of 201221021211200 in words is "two hundred one trillion, two hundred twenty-one billion, twenty-one million, two hundred eleven thousand, two hundred".