2112100012112 has 20 divisors (see below), whose sum is σ = 4092287208180. Its totient is φ = 1056025893888.

The previous prime is 2112100012109. The next prime is 2112100012133.

2112100012112 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 105219789376 + 2006880222736 = 324376^2 + 1416644^2 .

It is a super-2 number, since 2×2112100012112² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

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, 773537 + ... + 2196032.

It is an arithmetic number, because the mean of its divisors is an integer number (204614360409).

Almost surely, 2^{2112100012112} is an apocalyptic number.

It is an amenable number.

2112100012112 is a deficient number, since it is larger than the sum of its proper divisors (1980187196068).

2112100012112 is a wasteful number, since it uses less digits than its factorization.

2112100012112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3014030 (or 3014024 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, 21121000 and 12112, that added together give a palindrome (21133112).

The spelling of 2112100012112 in words is "two trillion, one hundred twelve billion, one hundred million, twelve thousand, one hundred twelve".