2112110002112 has 56 divisors (see below), whose sum is σ = 4588744828080. Its totient is φ = 956584028160.

The previous prime is 2112110002087. The next prime is 2112110002117. The reversal of 2112110002112 is 2112000112112.

It is a super-2 number, since 2×2112110002112² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112110002117) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 5220437 + ... + 5610452.

It is an arithmetic number, because the mean of its divisors is an integer number (81941871930).

Almost surely, 2^{2112110002112} is an apocalyptic number.

2112110002112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2112110002112 is an abundant number, since it is smaller than the sum of its proper divisors (2476634825968).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2112110002112 is a wasteful number, since it uses less digits than its factorization.

2112110002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10831189 (or 10831179 counting only the distinct ones).

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

Adding to 2112110002112 its reverse (2112000112112), we get a palindrome (4224110114224).

The spelling of 2112110002112 in words is "two trillion, one hundred twelve billion, one hundred ten million, two thousand, one hundred twelve".