2110112221200 has 120 divisors (see below), whose sum is σ = 6762558168576. Its totient is φ = 562433088000.

The previous prime is 2110112221163. The next prime is 2110112221211. The reversal of 2110112221200 is 21222110112.

It is a tau number, because it is divible by the number of its divisors (120).

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 2110112221200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2158545 + ... + 2979855.

Almost surely, 2^{2110112221200} is an apocalyptic number.

2110112221200 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 2110112221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3381279084288).

2110112221200 is an abundant number, since it is smaller than the sum of its proper divisors (4652445947376).

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

2110112221200 is a wasteful number, since it uses less digits than its factorization.

2110112221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 823473 (or 823462 counting only the distinct ones).

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

Adding to 2110112221200 its reverse (21222110112), we get a palindrome (2131334331312).

The spelling of 2110112221200 in words is "two trillion, one hundred ten billion, one hundred twelve million, two hundred twenty-one thousand, two hundred".