110001100100 has 72 divisors (see below), whose sum is σ = 240237056136. Its totient is φ = 43718400000.

The previous prime is 110001100087. The next prime is 110001100127. The reversal of 110001100100 is 1001100011.

It can be written as a sum of positive squares in 12 ways, for example, as 4438490884 + 105562609216 = 66622^2 + 324904^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11105150 + ... + 11115050.

Almost surely, 2^110001100100 is an apocalyptic number.

110001100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110001100100 is an abundant number, since it is smaller than the sum of its proper divisors (130235956036).

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

110001100100 is a wasteful number, since it uses less digits than its factorization.

110001100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10617 (or 10610 counting only the distinct ones).

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

Adding to 110001100100 its reverse (1001100011), we get a palindrome (111002200111).

The spelling of 110001100100 in words is "one hundred ten billion, one million, one hundred thousand, one hundred".