11011000100001 has 64 divisors (see below), whose sum is σ = 16375402368000. Its totient is φ = 6524863361280.

The previous prime is 11011000099949. The next prime is 11011000100011. The reversal of 11011000100001 is 10000100011011.

11011000100001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11011000100001 - 2¹⁴ = 11011000083617 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11011000100011) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 451647030 + ... + 451671408.

It is an arithmetic number, because the mean of its divisors is an integer number (255865662000).

Almost surely, 2^{11011000100001} is an apocalyptic number.

11011000100001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11011000100001 is a deficient number, since it is larger than the sum of its proper divisors (5364402267999).

11011000100001 is a wasteful number, since it uses less digits than its factorization.

11011000100001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25694.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 11011000100001 its reverse (10000100011011), we get a palindrome (21011100111012).

The spelling of 11011000100001 in words is "eleven trillion, eleven billion, one hundred thousand, one".