200201221102120 has 128 divisors (see below), whose sum is σ = 532194656348160. Its totient is φ = 66328091182080.

The previous prime is 200201221102081. The next prime is 200201221102133. The reversal of 200201221102120 is 21201122102002.

It is a happy number.

200201221102120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 200201221102094 and 200201221102103.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11158099 + ... + 22910818.

It is an arithmetic number, because the mean of its divisors is an integer number (4157770752720).

Almost surely, 2^{200201221102120} is an apocalyptic number.

200201221102120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200201221102120 is an abundant number, since it is smaller than the sum of its proper divisors (331993435246040).

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

200201221102120 is a wasteful number, since it uses less digits than its factorization.

200201221102120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34069643 (or 34069639 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 200201221102120 its reverse (21201122102002), we get a palindrome (221402343204122).

The spelling of 200201221102120 in words is "two hundred trillion, two hundred one billion, two hundred twenty-one million, one hundred two thousand, one hundred twenty".