10111120320 has 112 divisors (see below), whose sum is σ = 36688946688. Its totient is φ = 2311111680.

The previous prime is 10111120307. The next prime is 10111120337. The reversal of 10111120320 is 2302111101.

10111120320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10111120296 and 10111120305.

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 15 ways as a sum of consecutive naturals, for example, 745596 + ... + 759035.

Almost surely, 2^10111120320 is an apocalyptic number.

10111120320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10111120320 is an abundant number, since it is smaller than the sum of its proper divisors (26577826368).

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

10111120320 is a wasteful number, since it uses less digits than its factorization.

10111120320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1504658 (or 1504648 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 10111120320 its reverse (2302111101), we get a palindrome (12413231421).

The spelling of 10111120320 in words is "ten billion, one hundred eleven million, one hundred twenty thousand, three hundred twenty".