101113120 has 48 divisors (see below), whose sum is σ = 241283448. Its totient is φ = 40038400.

The previous prime is 101113097. The next prime is 101113123. The reversal of 101113120 is 21311101.

It can be written as a sum of positive squares in 4 ways, for example, as 98168464 + 2944656 = 9908^2 + 1716^2 .

It is a super-2 number, since 2×101113120² = 20447726072268800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 101113097 and 101113106.

It is not an unprimeable number, because it can be changed into a prime (101113123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13032 + ... + 19288.

Almost surely, 2^101113120 is an apocalyptic number.

101113120 is a gapful number since it is divisible by the number (10) 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 101113120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120641724).

101113120 is an abundant number, since it is smaller than the sum of its proper divisors (140170328).

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

101113120 is a wasteful number, since it uses less digits than its factorization.

101113120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6373 (or 6365 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 10.

The square root of 101113120 is about 10055.5019765301. The cubic root of 101113120 is about 465.8747476007.

Adding to 101113120 its reverse (21311101), we get a palindrome (122424221).

It can be divided in two parts, 10111 and 3120, that added together give a palindrome (13231).

The spelling of 101113120 in words is "one hundred one million, one hundred thirteen thousand, one hundred twenty".