2112110122112 has 32 divisors (see below), whose sum is σ = 4211569360380. Its totient is φ = 1055088792576.

The previous prime is 2112110122099. The next prime is 2112110122153. The reversal of 2112110122112 is 2112210112112.

It can be written as a sum of positive squares in 2 ways, for example, as 2096078510656 + 16031611456 = 1447784^2 + 126616^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×2112110122112² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 7408523 + ... + 7688330.

Almost surely, 2^{2112110122112} is an apocalyptic number.

It is an amenable number.

2112110122112 is a deficient number, since it is larger than the sum of its proper divisors (2099459238268).

2112110122112 is a wasteful number, since it uses less digits than its factorization.

2112110122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15097960 (or 15097948 counting only the distinct ones).

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

Adding to 2112110122112 its reverse (2112210112112), we get a palindrome (4224320234224).

The spelling of 2112110122112 in words is "two trillion, one hundred twelve billion, one hundred ten million, one hundred twenty-two thousand, one hundred twelve".