11001010000 has 50 divisors (see below), whose sum is σ = 26634569522. Its totient is φ = 4400400000.

The previous prime is 11001009983. The next prime is 11001010003. The reversal of 11001010000 is 1010011.

11001010000 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 5 ways, for example, as 4285535296 + 6715474704 = 65464^2 + 81948^2 .

It is a tau number, because it is divible by the number of its divisors (50).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11001010003) 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 9 ways as a sum of consecutive naturals, for example, 540051 + ... + 560050.

Almost surely, 2^11001010000 is an apocalyptic number.

11001010000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11001010000 is an abundant number, since it is smaller than the sum of its proper divisors (15633559522).

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

11001010000 is an equidigital number, since it uses as much as digits as its factorization.

11001010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1100129 (or 1100108 counting only the distinct ones).

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

Adding to 11001010000 its reverse (1010011), we get a palindrome (11002020011).

The spelling of 11001010000 in words is "eleven billion, one million, ten thousand".