2121112200 has 192 divisors, whose sum is σ = 6858936000. Its totient is φ = 541578240.

The previous prime is 2121112183. The next prime is 2121112207. The reversal of 2121112200 is 22111212.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (2121112207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2418162 + ... + 2419038.

It is an arithmetic number, because the mean of its divisors is an integer number (35723625).

Almost surely, 2^2121112200 is an apocalyptic number.

2121112200 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 2121112200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3429468000).

2121112200 is an abundant number, since it is smaller than the sum of its proper divisors (4737823800).

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

2121112200 is a wasteful number, since it uses less digits than its factorization.

2121112200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1064 (or 1055 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 2121112200 is about 46055.5338694494. The cubic root of 2121112200 is about 1284.8562673898.

Adding to 2121112200 its reverse (22111212), we get a palindrome (2143223412).

It can be divided in two parts, 21211 and 12200, that added together give a triangular number (33411 = T₂₅₈).

The spelling of 2121112200 in words is "two billion, one hundred twenty-one million, one hundred twelve thousand, two hundred".