2112101122121 has 16 divisors (see below), whose sum is σ = 2175822000000. Its totient is φ = 2049079014528.

The previous prime is 2112101122063. The next prime is 2112101122123. The reversal of 2112101122121 is 1212211012112.

It is a cyclic number.

It is not a de Polignac number, because 2112101122121 - 2¹⁸ = 2112100859977 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2112101122121.

It is not an unprimeable number, because it can be changed into a prime (2112101122123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4866005 + ... + 5282253.

It is an arithmetic number, because the mean of its divisors is an integer number (135988875000).

Almost surely, 2^{2112101122121} is an apocalyptic number.

It is an amenable number.

2112101122121 is a deficient number, since it is larger than the sum of its proper divisors (63720877879).

2112101122121 is a wasteful number, since it uses less digits than its factorization.

2112101122121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417088.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 2112101122121 its reverse (1212211012112), we get a palindrome (3324312134233).

It can be divided in two parts, 211210 and 1122121, that added together give a palindrome (1333331).

The spelling of 2112101122121 in words is "two trillion, one hundred twelve billion, one hundred one million, one hundred twenty-two thousand, one hundred twenty-one".