110113221120000 has 1040 divisors, whose sum is σ = 429528783691392. Its totient is φ = 24554373120000.

The previous prime is 110113221119947. The next prime is 110113221120011. The reversal of 110113221120000 is 21122311011.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2204135022 + ... + 2204184978.

Almost surely, 2^{110113221120000} is an apocalyptic number.

110113221120000 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 110113221120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214764391845696).

110113221120000 is an abundant number, since it is smaller than the sum of its proper divisors (319415562571392).

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

110113221120000 is an frugal number, since it uses more digits than its factorization.

110113221120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50052 (or 50015 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 110113221120000 its reverse (21122311011), we get a palindrome (110134343431011).

The spelling of 110113221120000 in words is "one hundred ten trillion, one hundred thirteen billion, two hundred twenty-one million, one hundred twenty thousand".