2112112100221 has 4 divisors (see below), whose sum is σ = 2112122628000. Its totient is φ = 2112101572444.

The previous prime is 2112112100209. The next prime is 2112112100227. The reversal of 2112112100221 is 1220012112112.

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 2112112100221 - 2⁷ = 2112112100093 is a prime.

It is a super-2 number, since 2×2112112100221² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2112112100195 and 2112112100204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112112100227) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 4956991 + ... + 5366188.

It is an arithmetic number, because the mean of its divisors is an integer number (528030657000).

Almost surely, 2^{2112112100221} is an apocalyptic number.

It is an amenable number.

2112112100221 is a deficient number, since it is larger than the sum of its proper divisors (10527779).

2112112100221 is a wasteful number, since it uses less digits than its factorization.

2112112100221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10527778.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 2112112100221 its reverse (1220012112112), we get a palindrome (3332124212333).

The spelling of 2112112100221 in words is "two trillion, one hundred twelve billion, one hundred twelve million, one hundred thousand, two hundred twenty-one".