101101112 has 48 divisors (see below), whose sum is σ = 221445000. Its totient is φ = 43146432.

The previous prime is 101101111. The next prime is 101101139. The reversal of 101101112 is 211101101.

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 101101112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101101111) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 136439 + ... + 137177.

Almost surely, 2^101101112 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 101101112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110722500).

101101112 is an abundant number, since it is smaller than the sum of its proper divisors (120343888).

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

101101112 is a wasteful number, since it uses less digits than its factorization.

101101112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1108 (or 1097 counting only the distinct ones).

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

The square root of 101101112 is about 10054.9048727474. The cubic root of 101101112 is about 465.8563047404.

Adding to 101101112 its reverse (211101101), we get a palindrome (312202213).

The spelling of 101101112 in words is "one hundred one million, one hundred one thousand, one hundred twelve".