1102113221120 has 40 divisors (see below), whose sum is σ = 2642488658964. Its totient is φ = 440845287424.

The previous prime is 1102113221117. The next prime is 1102113221129. The reversal of 1102113221120 is 211223112011.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 992430379264 + 109682841856 = 996208^2 + 331184^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1102113221129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 215253929 + ... + 215259048.

Almost surely, 2^{1102113221120} is an apocalyptic number.

1102113221120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1102113221120 is an abundant number, since it is smaller than the sum of its proper divisors (1540375437844).

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

1102113221120 is an frugal number, since it uses more digits than its factorization.

1102113221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430513000 (or 430512984 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 1102113221120 its reverse (211223112011), we get a palindrome (1313336333131).

The spelling of 1102113221120 in words is "one trillion, one hundred two billion, one hundred thirteen million, two hundred twenty-one thousand, one hundred twenty".