2112111221121 has 16 divisors (see below), whose sum is σ = 3413513085120. Its totient is φ = 1280067406560.

The previous prime is 2112111221119. The next prime is 2112111221131. The reversal of 2112111221121 is 1211221112112.

It is a happy number.

2112111221121 is a `hidden beast` number, since 211 + 2 + 111 + 221 + 121 = 666.

It is not a de Polignac number, because 2112111221121 - 2¹ = 2112111221119 is a prime.

It is a super-2 number, since 2×2112111221121² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2112111221094 and 2112111221103.

It is not an unprimeable number, because it can be changed into a prime (2112111221131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3555742500 + ... + 3555743093.

It is an arithmetic number, because the mean of its divisors is an integer number (213344567820).

Almost surely, 2^{2112111221121} is an apocalyptic number.

It is an amenable number.

2112111221121 is a deficient number, since it is larger than the sum of its proper divisors (1301401863999).

2112111221121 is a wasteful number, since it uses less digits than its factorization.

2112111221121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7111485613 (or 7111485607 counting only the distinct ones).

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

Adding to 2112111221121 its reverse (1211221112112), we get a palindrome (3323332333233).

The spelling of 2112111221121 in words is "two trillion, one hundred twelve billion, one hundred eleven million, two hundred twenty-one thousand, one hundred twenty-one".