11111111010001 has 32 divisors (see below), whose sum is σ = 11665255504896. Its totient is φ = 10574302464000.

The previous prime is 11111111009963. The next prime is 11111111010059. The reversal of 11111111010001 is 10001011111111.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 11111111010001 - 2¹⁵ = 11111110977233 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 11111111010001.

It is not an unprimeable number, because it can be changed into a prime (11111111070001) 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 31 ways as a sum of consecutive naturals, for example, 111071116 + ... + 111171106.

It is an arithmetic number, because the mean of its divisors is an integer number (364539234528).

Almost surely, 2^{11111111010001} is an apocalyptic number.

It is an amenable number.

11111111010001 is a deficient number, since it is larger than the sum of its proper divisors (554144494895).

11111111010001 is a wasteful number, since it uses less digits than its factorization.

11111111010001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100513.

The product of its (nonzero) digits is 1, while the sum is 10.

Adding to 11111111010001 its reverse (10001011111111), we get a palindrome (21112122121112).

It can be divided in two parts, 111111110 and 10001, that added together give a palindrome (111121111).

The spelling of 11111111010001 in words is "eleven trillion, one hundred eleven billion, one hundred eleven million, ten thousand, one".