1100221310320 has 80 divisors (see below), whose sum is σ = 2790878559840. Its totient is φ = 400034995200.

The previous prime is 1100221310299. The next prime is 1100221310323. The reversal of 1100221310320 is 230131220011.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1100221310294 and 1100221310303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100221310323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8224126 + ... + 8356834.

It is an arithmetic number, because the mean of its divisors is an integer number (34885981998).

Almost surely, 2^{1100221310320} is an apocalyptic number.

1100221310320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1100221310320 is an abundant number, since it is smaller than the sum of its proper divisors (1690657249520).

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

1100221310320 is a wasteful number, since it uses less digits than its factorization.

1100221310320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142154 (or 142148 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 1100221310320 its reverse (230131220011), we get a palindrome (1330352530331).

The spelling of 1100221310320 in words is "one trillion, one hundred billion, two hundred twenty-one million, three hundred ten thousand, three hundred twenty".