10001113120 has 48 divisors (see below), whose sum is σ = 23703720768. Its totient is φ = 3987562240.

The previous prime is 10001113117. The next prime is 10001113153. The reversal of 10001113120 is 2131110001.

It is a super-2 number, since 2×10001113120² (a number of 21 digits) 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 = 10001113097 and 10001113106.

It is an unprimeable number.

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, 50734 + ... + 150253.

It is an arithmetic number, because the mean of its divisors is an integer number (493827516).

Almost surely, 2^10001113120 is an apocalyptic number.

10001113120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10001113120 is an abundant number, since it is smaller than the sum of its proper divisors (13702607648).

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

10001113120 is a wasteful number, since it uses less digits than its factorization.

10001113120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201313 (or 201305 counting only the distinct ones).

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

Adding to 10001113120 its reverse (2131110001), we get a palindrome (12132223121).

The spelling of 10001113120 in words is "ten billion, one million, one hundred thirteen thousand, one hundred twenty".