2112112112121 has 64 divisors (see below), whose sum is σ = 3442888800000. Its totient is φ = 1279635287040.

The previous prime is 2112112112113. The next prime is 2112112112153. The reversal of 2112112112121 is 1212112112112.

It is a happy number.

It is not a de Polignac number, because 2112112112121 - 2³ = 2112112112113 is a prime.

It is a super-2 number, since 2×2112112112121² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2112112112094 and 2112112112103.

It is not an unprimeable number, because it can be changed into a prime (2112112112171) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 129976005 + ... + 129992253.

It is an arithmetic number, because the mean of its divisors is an integer number (53795137500).

Almost surely, 2^{2112112112121} is an apocalyptic number.

It is an amenable number.

2112112112121 is a deficient number, since it is larger than the sum of its proper divisors (1330776687879).

2112112112121 is a wasteful number, since it uses less digits than its factorization.

2112112112121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19908 (or 19880 counting only the distinct ones).

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

Adding to 2112112112121 its reverse (1212112112112), we get a palindrome (3324224224233).

Subtracting from 2112112112121 its reverse (1212112112112), we obtain a palindrome (900000000009).

It can be divided in two parts, 2112112112 and 121, that multiplied together give a palindrome (255565565552).

The spelling of 2112112112121 in words is "two trillion, one hundred twelve billion, one hundred twelve million, one hundred twelve thousand, one hundred twenty-one".