201020200000221 has 48 divisors (see below), whose sum is σ = 312501647954880. Its totient is φ = 114605485505280.

The previous prime is 201020200000187. The next prime is 201020200000271. The reversal of 201020200000221 is 122000002020102.

It is not a de Polignac number, because 201020200000221 - 2⁷ = 201020200000093 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 201020200000197 and 201020200000206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201020200000271) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 111727611 + ... + 113512551.

It is an arithmetic number, because the mean of its divisors is an integer number (6510450999060).

Almost surely, 2^{201020200000221} is an apocalyptic number.

201020200000221 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

201020200000221 is a deficient number, since it is larger than the sum of its proper divisors (111481447954659).

201020200000221 is a wasteful number, since it uses less digits than its factorization.

201020200000221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1786714 (or 1786707 counting only the distinct ones).

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

Adding to 201020200000221 its reverse (122000002020102), we get a palindrome (323020202020323).

The spelling of 201020200000221 in words is "two hundred one trillion, twenty billion, two hundred million, two hundred twenty-one", and thus it is an aban number.