2112212102121 has 48 divisors (see below), whose sum is σ = 3576717563328. Its totient is φ = 1186844313600.

The previous prime is 2112212102113. The next prime is 2112212102123. The reversal of 2112212102121 is 1212012122112.

2112212102121 is a `hidden beast` number, since 21 + 1 + 221 + 210 + 212 + 1 = 666.

It is not a de Polignac number, because 2112212102121 - 2³ = 2112212102113 is a prime.

It is a super-3 number, since 3×2112212102121³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 2112212102094 and 2112212102103.

It is not an unprimeable number, because it can be changed into a prime (2112212102123) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9253120 + ... + 9478641.

It is an arithmetic number, because the mean of its divisors is an integer number (74514949236).

Almost surely, 2^{2112212102121} is an apocalyptic number.

It is an amenable number.

2112212102121 is a deficient number, since it is larger than the sum of its proper divisors (1464505461207).

2112212102121 is a wasteful number, since it uses less digits than its factorization.

2112212102121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18731862 (or 18731859 counting only the distinct ones).

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

Adding to 2112212102121 its reverse (1212012122112), we get a palindrome (3324224224233).

The spelling of 2112212102121 in words is "two trillion, one hundred twelve billion, two hundred twelve million, one hundred two thousand, one hundred twenty-one".