11100001012 has 36 divisors (see below), whose sum is σ = 21138243084. Its totient is φ = 5096104960.

The previous prime is 11100000983. The next prime is 11100001027. The reversal of 11100001012 is 21010000111.

11100001012 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 6 ways, for example, as 498003856 + 10601997156 = 22316^2 + 102966^2 .

It is a junction number, because it is equal to n+sod(n) for n = 11100000986 and 11100001004.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 69703 + ... + 164494.

It is an arithmetic number, because the mean of its divisors is an integer number (587173419).

Almost surely, 2^11100001012 is an apocalyptic number.

It is an amenable number.

11100001012 is a deficient number, since it is larger than the sum of its proper divisors (10038242072).

11100001012 is a wasteful number, since it uses less digits than its factorization.

11100001012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234276 (or 234257 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 11100001012 its reverse (21010000111), we get a palindrome (32110001123).

Subtracting 11100001012 from its reverse (21010000111), we obtain a palindrome (9909999099).

The spelling of 11100001012 in words is "eleven billion, one hundred million, one thousand, twelve".