11111101100001 has 96 divisors (see below), whose sum is σ = 20409355284480. Its totient is φ = 5848573946112.

The previous prime is 11111101099991. The next prime is 11111101100051. The reversal of 11111101100001 is 10000110111111.

It is not a de Polignac number, because 11111101100001 - 2¹⁸ = 11111100837857 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (11111101100051) 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 95 ways as a sum of consecutive naturals, for example, 403126 + ... + 4731248.

It is an arithmetic number, because the mean of its divisors is an integer number (212597450880).

Almost surely, 2^{11111101100001} is an apocalyptic number.

It is an amenable number.

11111101100001 is a deficient number, since it is larger than the sum of its proper divisors (9298254184479).

11111101100001 is a wasteful number, since it uses less digits than its factorization.

11111101100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4328220 (or 4328197 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 11111101100001 its reverse (10000110111111), we get a palindrome (21111211211112).

The spelling of 11111101100001 in words is "eleven trillion, one hundred eleven billion, one hundred one million, one hundred thousand, one".