2112122012121 has 24 divisors (see below), whose sum is σ = 3334103881056. Its totient is φ = 1277800247040.

The previous prime is 2112122012087. The next prime is 2112122012129. The reversal of 2112122012121 is 1212102212112.

2112122012121 is a `hidden beast` number, since 211 + 21 + 220 + 1 + 212 + 1 = 666.

It is not a de Polignac number, because 2112122012121 - 2¹¹ = 2112122010073 is a prime.

It is a super-2 number, since 2×2112122012121² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2112122012094 and 2112122012103.

It is not an unprimeable number, because it can be changed into a prime (2112122012129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18891480 + ... + 19002953.

It is an arithmetic number, because the mean of its divisors is an integer number (138920995044).

Almost surely, 2^{2112122012121} is an apocalyptic number.

It is an amenable number.

2112122012121 is a deficient number, since it is larger than the sum of its proper divisors (1221981868935).

2112122012121 is a wasteful number, since it uses less digits than its factorization.

2112122012121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37895013 (or 37895010 counting only the distinct ones).

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

Adding to 2112122012121 its reverse (1212102212112), we get a palindrome (3324224224233).

The spelling of 2112122012121 in words is "two trillion, one hundred twelve billion, one hundred twenty-two million, twelve thousand, one hundred twenty-one".