10011201111120 has 320 divisors, whose sum is σ = 34584529305600. Its totient is φ = 2374762291200.

The previous prime is 10011201111071. The next prime is 10011201111143. The reversal of 10011201111120 is 2111110211001.

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 = 10011201111096 and 10011201111105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 800185665 + ... + 800198175.

It is an arithmetic number, because the mean of its divisors is an integer number (108076654080).

Almost surely, 2^{10011201111120} is an apocalyptic number.

10011201111120 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 10011201111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17292264652800).

10011201111120 is an abundant number, since it is smaller than the sum of its proper divisors (24573328194480).

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

10011201111120 is a wasteful number, since it uses less digits than its factorization.

10011201111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19034 (or 19028 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 10011201111120 its reverse (2111110211001), we get a palindrome (12122311322121).

The spelling of 10011201111120 in words is "ten trillion, eleven billion, two hundred one million, one hundred eleven thousand, one hundred twenty".