2112120221 has 4 divisors (see below), whose sum is σ = 2138856000. Its totient is φ = 2085384444.

The previous prime is 2112120191. The next prime is 2112120223. The reversal of 2112120221 is 1220212112.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 2112120221 - 2¹⁴ = 2112103837 is a prime.

It is a super-3 number, since 3×2112120221³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2112120196 and 2112120205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112120223) 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 3 ways as a sum of consecutive naturals, for example, 13367771 + ... + 13367928.

It is an arithmetic number, because the mean of its divisors is an integer number (534714000).

Almost surely, 2^2112120221 is an apocalyptic number.

It is an amenable number.

2112120221 is a deficient number, since it is larger than the sum of its proper divisors (26735779).

2112120221 is an equidigital number, since it uses as much as digits as its factorization.

2112120221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26735778.

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 2112120221 is about 45957.8091405585. The cubic root of 2112120221 is about 1283.0380757905.

Adding to 2112120221 its reverse (1220212112), we get a palindrome (3332332333).

The spelling of 2112120221 in words is "two billion, one hundred twelve million, one hundred twenty thousand, two hundred twenty-one".