12200020201100 has 72 divisors (see below), whose sum is σ = 26644076367888. Its totient is φ = 4848682809600.

The previous prime is 12200020201093. The next prime is 12200020201111. The reversal of 12200020201100 is 110202000221.

It is a happy number.

12200020201100 is digitally balanced in base 2, 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 23 ways as a sum of consecutive naturals, for example, 57873890 + ... + 58084310.

Almost surely, 2^{12200020201100} is an apocalyptic number.

12200020201100 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 12200020201100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13322038183944).

12200020201100 is an abundant number, since it is smaller than the sum of its proper divisors (14444056166788).

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

12200020201100 is a wasteful number, since it uses less digits than its factorization.

12200020201100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214155 (or 214148 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 12200020201100 its reverse (110202000221), we get a palindrome (12310222201321).

The spelling of 12200020201100 in words is "twelve trillion, two hundred billion, twenty million, two hundred one thousand, one hundred".