20121101220200 has 192 divisors, whose sum is σ = 48401152128000. Its totient is φ = 7774356695040.

The previous prime is 20121101220133. The next prime is 20121101220257. The reversal of 20121101220200 is 202210112102.

20121101220200 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2846382266 + ... + 2846389334.

It is an arithmetic number, because the mean of its divisors is an integer number (252089334000).

Almost surely, 2^{20121101220200} is an apocalyptic number.

20121101220200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20121101220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24200576064000).

20121101220200 is an abundant number, since it is smaller than the sum of its proper divisors (28280050907800).

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

20121101220200 is a wasteful number, since it uses less digits than its factorization.

20121101220200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11044 (or 11035 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 20121101220200 its reverse (202210112102), we get a palindrome (20323311332302).

The spelling of 20121101220200 in words is "twenty trillion, one hundred twenty-one billion, one hundred one million, two hundred twenty thousand, two hundred".