10111112 has 32 divisors (see below), whose sum is σ = 20930400. Its totient is φ = 4540800.

The previous prime is 10111109. The next prime is 10111117. The reversal of 10111112 is 21111101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 10111112.

It is not an unprimeable number, because it can be changed into a prime (10111117) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7187 + ... + 8477.

It is an arithmetic number, because the mean of its divisors is an integer number (654075).

Almost surely, 2^10111112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10111112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10465200).

10111112 is an abundant number, since it is smaller than the sum of its proper divisors (10819288).

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

10111112 is a wasteful number, since it uses less digits than its factorization.

10111112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1397 (or 1393 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

The square root of 10111112 is about 3179.7974778278. The cubic root of 10111112 is about 216.2384768939.

Adding to 10111112 its reverse (21111101), we get a palindrome (31222213).

The spelling of 10111112 in words is "ten million, one hundred eleven thousand, one hundred twelve".