2112102121 has 16 divisors (see below), whose sum is σ = 2256076800. Its totient is φ = 1972675408.

The previous prime is 2112102089. The next prime is 2112102131. The reversal of 2112102121 is 1212012112.

It is not a de Polignac number, because 2112102121 - 2⁵ = 2112102089 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2112102131) 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 15 ways as a sum of consecutive naturals, for example, 515760 + ... + 519838.

It is an arithmetic number, because the mean of its divisors is an integer number (141004800).

Almost surely, 2^2112102121 is an apocalyptic number.

It is an amenable number.

2112102121 is a deficient number, since it is larger than the sum of its proper divisors (143974679).

2112102121 is a wasteful number, since it uses less digits than its factorization.

2112102121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4628.

The product of its (nonzero) digits is 16, while the sum is 13.

The square root of 2112102121 is about 45957.6122203928. The cubic root of 2112102121 is about 1283.0344107442.

Adding to 2112102121 its reverse (1212012112), we get a palindrome (3324114233).

Subtracting from 2112102121 its reverse (1212012112), we obtain a palindrome (900090009).

The spelling of 2112102121 in words is "two billion, one hundred twelve million, one hundred two thousand, one hundred twenty-one".