201221121112120 has 128 divisors (see below), whose sum is σ = 455471326800000. Its totient is φ = 80005758124032.

The previous prime is 201221121112111. The next prime is 201221121112139. The reversal of 201221121112120 is 21211121122102.

It is a happy number.

It is a super-2 number, since 2×201221121112120² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 11453182696 + ... + 11453200264.

It is an arithmetic number, because the mean of its divisors is an integer number (3558369740625).

Almost surely, 2^{201221121112120} is an apocalyptic number.

201221121112120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201221121112120 is an abundant number, since it is smaller than the sum of its proper divisors (254250205687880).

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

201221121112120 is a wasteful number, since it uses less digits than its factorization.

201221121112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20225 (or 20221 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 201221121112120 its reverse (21211121122102), we get a palindrome (222432242234222).

The spelling of 201221121112120 in words is "two hundred one trillion, two hundred twenty-one billion, one hundred twenty-one million, one hundred twelve thousand, one hundred twenty".