11214440100 has 54 divisors (see below), whose sum is σ = 35151042290. Its totient is φ = 2990517120.

The previous prime is 11214440093. The next prime is 11214440137. The reversal of 11214440100 is 104441211.

11214440100 is a `hidden beast` number, since 1 + 1 + 214 + 440 + 10 + 0 = 666.

11214440100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 790846884 + 10423593216 = 28122^2 + 102096^2 .

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

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 17 ways as a sum of consecutive naturals, for example, 6229345 + ... + 6231144.

Almost surely, 2^11214440100 is an apocalyptic number.

11214440100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11214440100 is an abundant number, since it is smaller than the sum of its proper divisors (23936602190).

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

11214440100 is a wasteful number, since it uses less digits than its factorization.

11214440100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12460509 (or 12460499 counting only the distinct ones).

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

Adding to 11214440100 its reverse (104441211), we get a palindrome (11318881311).

The spelling of 11214440100 in words is "eleven billion, two hundred fourteen million, four hundred forty thousand, one hundred".