10120011120 has 60 divisors (see below), whose sum is σ = 33986373096. Its totient is φ = 2698669440.

The previous prime is 10120011113. The next prime is 10120011127. The reversal of 10120011120 is 2111002101.

It is a happy number.

10120011120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10120011113) and next prime (10120011127).

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10120011127) 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 11 ways as a sum of consecutive naturals, for example, 7027066 + ... + 7028505.

Almost surely, 2^10120011120 is an apocalyptic number.

10120011120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10120011120 is an abundant number, since it is smaller than the sum of its proper divisors (23866361976).

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

10120011120 is a wasteful number, since it uses less digits than its factorization.

10120011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14055590 (or 14055581 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10120011120 its reverse (2111002101), we get a palindrome (12231013221).

The spelling of 10120011120 in words is "ten billion, one hundred twenty million, eleven thousand, one hundred twenty".