11000100010000 has 50 divisors (see below), whose sum is σ = 26632342158422. Its totient is φ = 4400040000000.

The previous prime is 11000100009967. The next prime is 11000100010019. The reversal of 11000100010000 is 1000100011.

It can be written as a sum of positive squares in 5 ways, for example, as 8098896372736 + 2901203637264 = 2845856^2 + 1703292^2 .

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 an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 549995001 + ... + 550015000.

Almost surely, 2^{11000100010000} is an apocalyptic number.

11000100010000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11000100010000 is an abundant number, since it is smaller than the sum of its proper divisors (15632242148422).

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

11000100010000 is an equidigital number, since it uses as much as digits as its factorization.

11000100010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1100010029 (or 1100010008 counting only the distinct ones).

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

Adding to 11000100010000 its reverse (1000100011), we get a palindrome (11001100110011).

It can be divided in two parts, 1 and 1000100010000, that added together give a palindrome (1000100010001).

The spelling of 11000100010000 in words is "eleven trillion, one hundred million, ten thousand".