2231101113120 has 384 divisors, whose sum is σ = 8726531708160. Its totient is φ = 527680512000.

The previous prime is 2231101113113. The next prime is 2231101113151. The reversal of 2231101113120 is 213111011322.

2231101113120 is a `hidden beast` number, since 2 + 231 + 10 + 111 + 312 + 0 = 666.

2231101113120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2231101113120³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2231101113093 and 2231101113102.

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, 1375750 + ... + 2520890.

It is an arithmetic number, because the mean of its divisors is an integer number (22725342990).

Almost surely, 2^{2231101113120} is an apocalyptic number.

2231101113120 is a gapful number since it is divisible by the number (20) 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 2231101113120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4363265854080).

2231101113120 is an abundant number, since it is smaller than the sum of its proper divisors (6495430595040).

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

2231101113120 is a wasteful number, since it uses less digits than its factorization.

2231101113120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1145217 (or 1145203 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 2231101113120 its reverse (213111011322), we get a palindrome (2444212124442).

The spelling of 2231101113120 in words is "two trillion, two hundred thirty-one billion, one hundred one million, one hundred thirteen thousand, one hundred twenty".