2112100121200 has 120 divisors (see below), whose sum is σ = 5373461375568. Its totient is φ = 795047178240.

The previous prime is 2112100121179. The next prime is 2112100121207. The reversal of 2112100121200 is 21210012112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112100121207) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 82967674 + ... + 82993126.

Almost surely, 2^{2112100121200} is an apocalyptic number.

2112100121200 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 2112100121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2686730687784).

2112100121200 is an abundant number, since it is smaller than the sum of its proper divisors (3261361254368).

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

2112100121200 is a wasteful number, since it uses less digits than its factorization.

2112100121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37691 (or 37680 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 2112100121200 its reverse (21210012112), we get a palindrome (2133310133312).

The spelling of 2112100121200 in words is "two trillion, one hundred twelve billion, one hundred million, one hundred twenty-one thousand, two hundred".