12101103200 has 144 divisors (see below), whose sum is σ = 31435269264. Its totient is φ = 4533043200.

The previous prime is 12101103199. The next prime is 12101103247. The reversal of 12101103200 is 230110121.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2867492 + ... + 2871708.

It is an arithmetic number, because the mean of its divisors is an integer number (218300481).

Almost surely, 2^12101103200 is an apocalyptic number.

12101103200 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 12101103200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15717634632).

12101103200 is an abundant number, since it is smaller than the sum of its proper divisors (19334166064).

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

12101103200 is a wasteful number, since it uses less digits than its factorization.

12101103200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4465 (or 4452 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 12101103200 its reverse (230110121), we get a palindrome (12331213321).

The spelling of 12101103200 in words is "twelve billion, one hundred one million, one hundred three thousand, two hundred".