11144124332100 has 108 divisors (see below), whose sum is σ = 34970470768324. Its totient is φ = 2968377719040.

The previous prime is 11144124332057. The next prime is 11144124332113. The reversal of 11144124332100 is 123342144111.

It is a happy number.

11144124332100 is a `hidden beast` number, since 1 + 1 + 1 + 4 + 4 + 12 + 433 + 210 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 273757075524 + 10870367256576 = 523218^2 + 3297024^2 .

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 35 ways as a sum of consecutive naturals, for example, 6270199 + ... + 7848798.

Almost surely, 2^{11144124332100} is an apocalyptic number.

11144124332100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11144124332100 is an abundant number, since it is smaller than the sum of its proper divisors (23826346436224).

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

11144124332100 is a wasteful number, since it uses less digits than its factorization.

11144124332100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14119894 (or 14119884 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 11144124332100 its reverse (123342144111), we get a palindrome (11267466476211).

The spelling of 11144124332100 in words is "eleven trillion, one hundred forty-four billion, one hundred twenty-four million, three hundred thirty-two thousand, one hundred".