2011111112112 has 20 divisors (see below), whose sum is σ = 5195370373080. Its totient is φ = 670370370688.

The previous prime is 2011111112077. The next prime is 2011111112123. The reversal of 2011111112112 is 2112111111102.

It is a junction number, because it is equal to n+sod(n) for n = 2011111112091 and 2011111112100.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20949074037 + ... + 20949074132.

It is an arithmetic number, because the mean of its divisors is an integer number (259768518654).

Almost surely, 2^{2011111112112} is an apocalyptic number.

It is an amenable number.

2011111112112 is an abundant number, since it is smaller than the sum of its proper divisors (3184259260968).

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

2011111112112 is a wasteful number, since it uses less digits than its factorization.

2011111112112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41898148180 (or 41898148174 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 2011111112112 its reverse (2112111111102), we get a palindrome (4123222223214).

The spelling of 2011111112112 in words is "two trillion, eleven billion, one hundred eleven million, one hundred twelve thousand, one hundred twelve".