101112 has 32 divisors (see below), whose sum is σ = 276480. Its totient is φ = 30560.

The previous prime is 101111. The next prime is 101113. The reversal of 101112 is 211101.

It is an interprime number because it is at equal distance from previous prime (101111) and next prime (101113).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a self number, because there is not a number n which added to its sum of digits gives 101112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101111) 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, 73 + ... + 455.

It is an arithmetic number, because the mean of its divisors is an integer number (8640).

2¹⁰¹¹¹² is an apocalyptic number.

101112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138240).

101112 is an abundant number, since it is smaller than the sum of its proper divisors (175368).

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

101112 is a wasteful number, since it uses less digits than its factorization.

101112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

The square root of 101112 is about 317.9811315157. The cubic root of 101112 is about 46.5873027476.

Adding to 101112 its reverse (211101), we get a palindrome (312213).

Multiplying 101112 by its reverse (211101), we get a palindrome (21344844312).

The spelling of 101112 in words is "one hundred one thousand, one hundred twelve", and thus it is an iban number.