10011120120 has 48 divisors (see below), whose sum is σ = 32536141560. Its totient is φ = 2669631936.

The previous prime is 10011120113. The next prime is 10011120169. The reversal of 10011120120 is 2102111001.

It is a happy number.

10011120120 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 (9).

It is a congruent number.

It is an unprimeable number.

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, 13903974 + ... + 13904693.

Almost surely, 2^10011120120 is an apocalyptic number.

10011120120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10011120120 is an abundant number, since it is smaller than the sum of its proper divisors (22525021440).

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

10011120120 is a wasteful number, since it uses less digits than its factorization.

10011120120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27808684 (or 27808677 counting only the distinct ones).

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

Adding to 10011120120 its reverse (2102111001), we get a palindrome (12113231121).

The spelling of 10011120120 in words is "ten billion, eleven million, one hundred twenty thousand, one hundred twenty".