11001040344100 has 72 divisors (see below), whose sum is σ = 23964146149608. Its totient is φ = 4383497395200.

The previous prime is 11001040344023. The next prime is 11001040344101. The reversal of 11001040344100 is 144304010011.

It can be written as a sum of positive squares in 12 ways, for example, as 4553716995136 + 6447323348964 = 2133944^2 + 2539158^2 .

It is not an unprimeable number, because it can be changed into a prime (11001040344101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45940680 + ... + 46179520.

It is an arithmetic number, because the mean of its divisors is an integer number (332835363189).

Almost surely, 2^{11001040344100} is an apocalyptic number.

11001040344100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11001040344100 is an abundant number, since it is smaller than the sum of its proper divisors (12963105805508).

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

11001040344100 is a wasteful number, since it uses less digits than its factorization.

11001040344100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240625 (or 240618 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 11001040344100 its reverse (144304010011), we get a palindrome (11145344354111).

The spelling of 11001040344100 in words is "eleven trillion, one billion, forty million, three hundred forty-four thousand, one hundred".