110221010111120 has 40 divisors (see below), whose sum is σ = 256283807586360. Its totient is φ = 44084970224640.

The previous prime is 110221010111089. The next prime is 110221010111123. The reversal of 110221010111120 is 21111010122011.

It can be written as a sum of positive squares in 4 ways, for example, as 725379262864 + 109495630848256 = 851692^2 + 10464016^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 110221010111095 and 110221010111104.

It is not an unprimeable number, because it can be changed into a prime (110221010111123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52619735 + ... + 54674294.

It is an arithmetic number, because the mean of its divisors is an integer number (6407095189659).

Almost surely, 2^{110221010111120} is an apocalyptic number.

110221010111120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110221010111120 is an abundant number, since it is smaller than the sum of its proper divisors (146062797475240).

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

110221010111120 is a wasteful number, since it uses less digits than its factorization.

110221010111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107306883 (or 107306877 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 110221010111120 its reverse (21111010122011), we get a palindrome (131332020233131).

The spelling of 110221010111120 in words is "one hundred ten trillion, two hundred twenty-one billion, ten million, one hundred eleven thousand, one hundred twenty".