101115112 has 96 divisors (see below), whose sum is σ = 238305600. Its totient is φ = 39287808.

The previous prime is 101115109. The next prime is 101115137. The reversal of 101115112 is 211511101.

It is a junction number, because it is equal to n+sod(n) for n = 101115092 and 101115101.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 894768 + ... + 894880.

It is an arithmetic number, because the mean of its divisors is an integer number (2482350).

Almost surely, 2^101115112 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 101115112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119152800).

101115112 is an abundant number, since it is smaller than the sum of its proper divisors (137190488).

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

101115112 is a wasteful number, since it uses less digits than its factorization.

101115112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 13.

The square root of 101115112 is about 10055.6010262938. The cubic root of 101115112 is about 465.8778069346.

Adding to 101115112 its reverse (211511101), we get a palindrome (312626213).

The spelling of 101115112 in words is "one hundred one million, one hundred fifteen thousand, one hundred twelve".