11000001000100 has 36 divisors (see below), whose sum is σ = 27280002481984. Its totient is φ = 3771428914080.

The previous prime is 11000001000011. The next prime is 11000001000101. The reversal of 11000001000100 is 100010000011.

It is a Harshad number since it is a multiple of its sum of digits (4).

11000001000100 is a modest number, since divided by 1000100 gives 110000 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 11000001000100.

It is not an unprimeable number, because it can be changed into a prime (11000001000101) 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 11 ways as a sum of consecutive naturals, for example, 7857142872 + ... + 7857144271.

Almost surely, 2^{11000001000100} is an apocalyptic number.

11000001000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11000001000100 is an abundant number, since it is smaller than the sum of its proper divisors (16280001481884).

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

11000001000100 is a wasteful number, since it uses less digits than its factorization.

11000001000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15714287164 (or 15714287157 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 4.

Adding to 11000001000100 its reverse (100010000011), we get a palindrome (11100011000111).

The spelling of 11000001000100 in words is "eleven trillion, one million, one hundred", and thus it is an aban number.