1011112112112 has 20 divisors (see below), whose sum is σ = 2612039623080. Its totient is φ = 337037370688.

The previous prime is 1011112112099. The next prime is 1011112112137. The reversal of 1011112112112 is 2112112111101.

It is a junction number, because it is equal to n+sod(n) for n = 1011112112091 and 1011112112100.

It is a congruent number.

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, 10532417787 + ... + 10532417882.

It is an arithmetic number, because the mean of its divisors is an integer number (130601981154).

Almost surely, 2^{1011112112112} is an apocalyptic number.

1011112112112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1011112112112 is an abundant number, since it is smaller than the sum of its proper divisors (1600927510968).

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

1011112112112 is a wasteful number, since it uses less digits than its factorization.

1011112112112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21064835680 (or 21064835674 counting only the distinct ones).

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

Adding to 1011112112112 its reverse (2112112111101), we get a palindrome (3123224223213).

The spelling of 1011112112112 in words is "one trillion, eleven billion, one hundred twelve million, one hundred twelve thousand, one hundred twelve".