11010100100001 has 32 divisors (see below), whose sum is σ = 15099418414080. Its totient is φ = 7131022580736.

The previous prime is 11010100099991. The next prime is 11010100100011. The reversal of 11010100100001 is 10000100101011.

It is an interprime number because it is at equal distance from previous prime (11010100099991) and next prime (11010100100011).

It is not a de Polignac number, because 11010100100001 - 2¹⁸ = 11010099837857 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11010100100011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 319514365 + ... + 319548821.

It is an arithmetic number, because the mean of its divisors is an integer number (471856825440).

Almost surely, 2^{11010100100001} is an apocalyptic number.

It is an amenable number.

11010100100001 is a deficient number, since it is larger than the sum of its proper divisors (4089318314079).

11010100100001 is a wasteful number, since it uses less digits than its factorization.

11010100100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38713.

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

Adding to 11010100100001 its reverse (10000100101011), we get a palindrome (21010200201012).

The spelling of 11010100100001 in words is "eleven trillion, ten billion, one hundred million, one hundred thousand, one".