10011120 has 160 divisors (see below), whose sum is σ = 36426240. Its totient is φ = 2227200.

The previous prime is 10011107. The next prime is 10011121. The reversal of 10011120 is 2111001.

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 = 10011099 and 10011108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10011121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99070 + ... + 99170.

It is an arithmetic number, because the mean of its divisors is an integer number (227664).

Almost surely, 2^10011120 is an apocalyptic number.

10011120 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 10011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18213120).

10011120 is an abundant number, since it is smaller than the sum of its proper divisors (26415120).

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

10011120 is a wasteful number, since it uses less digits than its factorization.

10011120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 177 counting only the distinct ones).

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

The square root of 10011120 is about 3164.0353980321. The cubic root of 10011120 is about 215.5232971334.

Adding to 10011120 its reverse (2111001), we get a palindrome (12122121).

The spelling of 10011120 in words is "ten million, eleven thousand, one hundred twenty".