2121120112200 has 144 divisors (see below), whose sum is σ = 6757993554480. Its totient is φ = 550344464640.

The previous prime is 2121120112171. The next prime is 2121120112261. The reversal of 2121120112200 is 22110211212.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2121120112200.

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 35 ways as a sum of consecutive naturals, for example, 469762 + ... + 2112561.

It is an arithmetic number, because the mean of its divisors is an integer number (46930510795).

Almost surely, 2^{2121120112200} is an apocalyptic number.

2121120112200 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 2121120112200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3378996777240).

2121120112200 is an abundant number, since it is smaller than the sum of its proper divisors (4636873442280).

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

2121120112200 is a wasteful number, since it uses less digits than its factorization.

2121120112200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2582416 (or 2582370 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 2121120112200 its reverse (22110211212), we get a palindrome (2143230323412).

The spelling of 2121120112200 in words is "two trillion, one hundred twenty-one billion, one hundred twenty million, one hundred twelve thousand, two hundred".