2112111010112 has 28 divisors (see below), whose sum is σ = 4191340231476. Its totient is φ = 1056025282560.

The previous prime is 2112111010081. The next prime is 2112111010133. The reversal of 2112111010112 is 2110101112112.

It can be written as a sum of positive squares in 2 ways, for example, as 1869629614336 + 242481395776 = 1367344^2 + 492424^2 .

It is a super-2 number, since 2×2112111010112² (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 (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1871768 + ... + 2779880.

Almost surely, 2^{2112111010112} is an apocalyptic number.

It is an amenable number.

2112111010112 is a deficient number, since it is larger than the sum of its proper divisors (2079229221364).

2112111010112 is an equidigital number, since it uses as much as digits as its factorization.

2112111010112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 944466 (or 944456 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 2112111010112 its reverse (2110101112112), we get a palindrome (4222212122224).

The spelling of 2112111010112 in words is "two trillion, one hundred twelve billion, one hundred eleven million, ten thousand, one hundred twelve".