201200202112221 has 72 divisors (see below), whose sum is σ = 317799953602560. Its totient is φ = 122595325587072.

The previous prime is 201200202112213. The next prime is 201200202112223. The reversal of 201200202112221 is 122211202002102.

It is a happy number.

201200202112221 is a `hidden beast` number, since 201 + 200 + 20 + 21 + 1 + 2 + 221 = 666.

It is not a de Polignac number, because 201200202112221 - 2³ = 201200202112213 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 201200202112194 and 201200202112203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201200202112223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1102659631 + ... + 1102842083.

It is an arithmetic number, because the mean of its divisors is an integer number (4413888244480).

Almost surely, 2^{201200202112221} is an apocalyptic number.

It is an amenable number.

201200202112221 is a deficient number, since it is larger than the sum of its proper divisors (116599751490339).

201200202112221 is a wasteful number, since it uses less digits than its factorization.

201200202112221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189627 (or 189611 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 201200202112221 its reverse (122211202002102), we get a palindrome (323411404114323).

The spelling of 201200202112221 in words is "two hundred one trillion, two hundred billion, two hundred two million, one hundred twelve thousand, two hundred twenty-one".