10111201120 has 96 divisors (see below), whose sum is σ = 26238401280. Its totient is φ = 3664995840.

The previous prime is 10111201069. The next prime is 10111201153. The reversal of 10111201120 is 2110211101.

10111201120 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 (10).

It is a junction number, because it is equal to n+sod(n) for n = 10111201097 and 10111201106.

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, 2386 + ... + 142225.

It is an arithmetic number, because the mean of its divisors is an integer number (273316680).

Almost surely, 2^10111201120 is an apocalyptic number.

10111201120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10111201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13119200640).

10111201120 is an abundant number, since it is smaller than the sum of its proper divisors (16127200160).

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

10111201120 is a wasteful number, since it uses less digits than its factorization.

10111201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144668 (or 144660 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10111201120 its reverse (2110211101), we get a palindrome (12221412221).

The spelling of 10111201120 in words is "ten billion, one hundred eleven million, two hundred one thousand, one hundred twenty".