2112111102012 has 12 divisors (see below), whose sum is σ = 4928259238056. Its totient is φ = 704037034000.

The previous prime is 2112111102011. The next prime is 2112111102029. The reversal of 2112111102012 is 2102011112112.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-2 number, since 2×2112111102012² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2112111101982 and 2112111102000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112111102011) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 88004629239 + ... + 88004629262.

It is an arithmetic number, because the mean of its divisors is an integer number (410688269838).

Almost surely, 2^{2112111102012} is an apocalyptic number.

It is an amenable number.

2112111102012 is an abundant number, since it is smaller than the sum of its proper divisors (2816148136044).

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

2112111102012 is a wasteful number, since it uses less digits than its factorization.

2112111102012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176009258508 (or 176009258506 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 2112111102012 its reverse (2102011112112), we get a palindrome (4214122214124).

The spelling of 2112111102012 in words is "two trillion, one hundred twelve billion, one hundred eleven million, one hundred two thousand, twelve".