12211200112100 has 144 divisors (see below), whose sum is σ = 28988602319040. Its totient is φ = 4427956108800.

The previous prime is 12211200112063. The next prime is 12211200112129. The reversal of 12211200112100 is 121100211221.

It is a super-2 number, since 2×12211200112100² (a number of 27 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 595396646 + ... + 595417154.

Almost surely, 2^{12211200112100} is an apocalyptic number.

12211200112100 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 12211200112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14494301159520).

12211200112100 is an abundant number, since it is smaller than the sum of its proper divisors (16777402206940).

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

12211200112100 is a wasteful number, since it uses less digits than its factorization.

12211200112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22030 (or 22023 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 12211200112100 its reverse (121100211221), we get a palindrome (12332300323321).

The spelling of 12211200112100 in words is "twelve trillion, two hundred eleven billion, two hundred million, one hundred twelve thousand, one hundred".