2112220110209 has 64 divisors (see below), whose sum is σ = 2503726848000. Its totient is φ = 1760490685440.

The previous prime is 2112220110193. The next prime is 2112220110211. The reversal of 2112220110209 is 9020110222112.

It is a cyclic number.

It is not a de Polignac number, because 2112220110209 - 2⁴ = 2112220110193 is a prime.

It is a super-2 number, since 2×2112220110209² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2112220110269) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1124118332 + ... + 1124120210.

It is an arithmetic number, because the mean of its divisors is an integer number (39120732000).

Almost surely, 2^{2112220110209} is an apocalyptic number.

It is an amenable number.

2112220110209 is a deficient number, since it is larger than the sum of its proper divisors (391506737791).

2112220110209 is a wasteful number, since it uses less digits than its factorization.

2112220110209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2838.

The product of its (nonzero) digits is 288, while the sum is 23.

The spelling of 2112220110209 in words is "two trillion, one hundred twelve billion, two hundred twenty million, one hundred ten thousand, two hundred nine".