11010000000100 has 72 divisors (see below), whose sum is σ = 23972399371368. Its totient is φ = 4389138124800.

The previous prime is 11010000000031. The next prime is 11010000000107. The reversal of 11010000000100 is 100000001011.

It can be written as a sum of positive squares in 12 ways, for example, as 8880245040676 + 2129754959424 = 2979974^2 + 1459368^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 11010000000100.

It is not an unprimeable number, because it can be changed into a prime (11010000000107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65609502 + ... + 65777098.

It is an arithmetic number, because the mean of its divisors is an integer number (332949991269).

Almost surely, 2^{11010000000100} is an apocalyptic number.

11010000000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11010000000100 is an abundant number, since it is smaller than the sum of its proper divisors (12962399371268).

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

11010000000100 is a wasteful number, since it uses less digits than its factorization.

11010000000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169825 (or 169818 counting only the distinct ones).

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

Adding to 11010000000100 its reverse (100000001011), we get a palindrome (11110000001111).

It can be divided in two parts, 1 and 1010000000100, that added together give a palindrome (1010000000101).

The spelling of 11010000000100 in words is "eleven trillion, ten billion, one hundred", and thus it is an aban number.