110000110000100 has 72 divisors (see below), whose sum is σ = 238993811495208. Its totient is φ = 43945951564800.

The previous prime is 110000110000097. The next prime is 110000110000153. The reversal of 110000110000100 is 1000011000011.

It can be written as a sum of positive squares in 12 ways, for example, as 10337305268224 + 99662804731876 = 3215168^2 + 9983126^2 .

It is a Harshad number since it is a multiple of its sum of digits (5).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 400356770 + ... + 400631430.

It is an arithmetic number, because the mean of its divisors is an integer number (3319358492989).

Almost surely, 2^{110000110000100} is an apocalyptic number.

110000110000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110000110000100 is an abundant number, since it is smaller than the sum of its proper divisors (128993701495108).

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

110000110000100 is a wasteful number, since it uses less digits than its factorization.

110000110000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279585 (or 279578 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 110000110000100 its reverse (1000011000011), we get a palindrome (111000121000111).

The spelling of 110000110000100 in words is "one hundred ten trillion, one hundred ten million, one hundred", and thus it is an aban number.