12201100113300 has 288 divisors, whose sum is σ = 41143679136000. Its totient is φ = 2733708656640.

The previous prime is 12201100113263. The next prime is 12201100113331. The reversal of 12201100113300 is 331100110221.

It is a happy number.

12201100113300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12201100113300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 123382276 + ... + 123481124.

It is an arithmetic number, because the mean of its divisors is an integer number (142859997000).

Almost surely, 2^{12201100113300} is an apocalyptic number.

12201100113300 is a gapful number since it is divisible by the number (10) 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 12201100113300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20571839568000).

12201100113300 is an abundant number, since it is smaller than the sum of its proper divisors (28942579022700).

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

12201100113300 is a wasteful number, since it uses less digits than its factorization.

12201100113300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100035 (or 100028 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 12201100113300 its reverse (331100110221), we get a palindrome (12532200223521).

The spelling of 12201100113300 in words is "twelve trillion, two hundred one billion, one hundred million, one hundred thirteen thousand, three hundred".