11044124100 has 108 divisors (see below), whose sum is σ = 35270500356. Its totient is φ = 2889519360.

The previous prime is 11044124099. The next prime is 11044124101. The reversal of 11044124100 is 142144011.

11044124100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11044124099) and next prime (11044124101).

It can be written as a sum of positive squares in 6 ways, for example, as 1327290624 + 9716833476 = 36432^2 + 98574^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (11044124101) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 68067 + ... + 163466.

It is an arithmetic number, because the mean of its divisors is an integer number (326578707).

Almost surely, 2^11044124100 is an apocalyptic number.

11044124100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11044124100 is an abundant number, since it is smaller than the sum of its proper divisors (24226376256).

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

11044124100 is a wasteful number, since it uses less digits than its factorization.

11044124100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231606 (or 231596 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 11044124100 its reverse (142144011), we get a palindrome (11186268111).

The spelling of 11044124100 in words is "eleven billion, forty-four million, one hundred twenty-four thousand, one hundred".