10000011120 has 120 divisors (see below), whose sum is σ = 34074517008. Its totient is φ = 2424238080.

The previous prime is 10000011107. The next prime is 10000011121. The reversal of 10000011120 is 2111000001.

It is a tau number, because it is divible by the number of its divisors (120).

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 = 10000011099 and 10000011108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000011121) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 143137 + ... + 201216.

Almost surely, 2^10000011120 is an apocalyptic number.

10000011120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10000011120 is an abundant number, since it is smaller than the sum of its proper divisors (24074505888).

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

10000011120 is a wasteful number, since it uses less digits than its factorization.

10000011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344391 (or 344374 counting only the distinct ones).

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

Adding to 10000011120 its reverse (2111000001), we get a palindrome (12111011121).

The spelling of 10000011120 in words is "ten billion, eleven thousand, one hundred twenty".