2112211211121 has 144 divisors (see below), whose sum is σ = 3537077544000. Its totient is φ = 1211908051200.

The previous prime is 2112211211039. The next prime is 2112211211161. The reversal of 2112211211121 is 1211121122112.

It is a happy number.

2112211211121 is a `hidden beast` number, since 211 + 221 + 1 + 211 + 1 + 21 = 666.

It is not a de Polignac number, because 2112211211121 - 2¹³ = 2112211202929 is a prime.

It is a super-2 number, since 2×2112211211121² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2112211211094 and 2112211211103.

It is not an unprimeable number, because it can be changed into a prime (2112211211161) 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 143 ways as a sum of consecutive naturals, for example, 858970390 + ... + 858972848.

It is an arithmetic number, because the mean of its divisors is an integer number (24563038500).

Almost surely, 2^{2112211211121} is an apocalyptic number.

It is an amenable number.

2112211211121 is a deficient number, since it is larger than the sum of its proper divisors (1424866332879).

2112211211121 is a wasteful number, since it uses less digits than its factorization.

2112211211121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3036 (or 3022 counting only the distinct ones).

The product of its digits is 32, while the sum is 18.

Adding to 2112211211121 its reverse (1211121122112), we get a palindrome (3323332333233).

The spelling of 2112211211121 in words is "two trillion, one hundred twelve billion, two hundred eleven million, two hundred eleven thousand, one hundred twenty-one".