100011120 has 160 divisors (see below), whose sum is σ = 346477824. Its totient is φ = 23654400.

The previous prime is 100011113. The next prime is 100011137. The reversal of 100011120 is 21110001.

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a junction number, because it is equal to n+sod(n) for n = 100011099 and 100011108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 113080 + ... + 113960.

Almost surely, 2^100011120 is an apocalyptic number.

100011120 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 100011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173238912).

100011120 is an abundant number, since it is smaller than the sum of its proper divisors (246466704).

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

100011120 is a wasteful number, since it uses less digits than its factorization.

100011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 951 (or 945 counting only the distinct ones).

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

The square root of 100011120 is about 10000.5559845441. Note that the first 3 decimals coincide. The cubic root of 100011120 is about 464.1760875462.

Adding to 100011120 its reverse (21110001), we get a palindrome (121121121).

The spelling of 100011120 in words is "one hundred million, eleven thousand, one hundred twenty".