10011112120 has 32 divisors (see below), whose sum is σ = 22528803600. Its totient is φ = 4003769088.

The previous prime is 10011112117. The next prime is 10011112121. The reversal of 10011112120 is 2121111001.

10011112120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 10011112097 and 10011112106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10011112121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 267607 + ... + 302713.

Almost surely, 2^10011112120 is an apocalyptic number.

10011112120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10011112120 is an abundant number, since it is smaller than the sum of its proper divisors (12517691480).

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

10011112120 is a wasteful number, since it uses less digits than its factorization.

10011112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42247 (or 42243 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10011112120 its reverse (2121111001), we get a palindrome (12132223121).

The spelling of 10011112120 in words is "ten billion, eleven million, one hundred twelve thousand, one hundred twenty".