2112211102221 has 48 divisors (see below), whose sum is σ = 3439975840000. Its totient is φ = 1279964125440.

The previous prime is 2112211102187. The next prime is 2112211102231. The reversal of 2112211102221 is 1222011122112.

2112211102221 is a `hidden beast` number, since 211 + 221 + 1 + 10 + 2 + 221 = 666.

It is not a de Polignac number, because 2112211102221 - 2¹⁰ = 2112211101197 is a prime.

It is a super-2 number, since 2×2112211102221² (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 = 2112211102194 and 2112211102203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112211102231) 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 47 ways as a sum of consecutive naturals, for example, 28506780 + ... + 28580778.

Almost surely, 2^{2112211102221} is an apocalyptic number.

It is an amenable number.

2112211102221 is a deficient number, since it is larger than the sum of its proper divisors (1327764737779).

2112211102221 is a wasteful number, since it uses less digits than its factorization.

2112211102221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82767 (or 82750 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 2112211102221 its reverse (1222011122112), we get a palindrome (3334222224333).

The spelling of 2112211102221 in words is "two trillion, one hundred twelve billion, two hundred eleven million, one hundred two thousand, two hundred twenty-one".