2112010102112 has 24 divisors (see below), whose sum is σ = 4162604311656. Its totient is φ = 1054840753152.

The previous prime is 2112010102091. The next prime is 2112010102177.

2112010102112 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 36354833 + ... + 36412880.

It is an arithmetic number, because the mean of its divisors is an integer number (173441846319).

Almost surely, 2^{2112010102112} is an apocalyptic number.

It is an amenable number.

2112010102112 is a deficient number, since it is larger than the sum of its proper divisors (2050594209544).

2112010102112 is an equidigital number, since it uses as much as digits as its factorization.

2112010102112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72768630 (or 72768622 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

It can be divided in two parts, 2112010 and 102112, that added together give a palindrome (2214122).

The spelling of 2112010102112 in words is "two trillion, one hundred twelve billion, ten million, one hundred two thousand, one hundred twelve".