11100110101001 has 16 divisors (see below), whose sum is σ = 11305245990720. Its totient is φ = 10895552740800.

The previous prime is 11100110100967. The next prime is 11100110101007. The reversal of 11100110101001 is 10010101100111.

It is a cyclic number.

It is not a de Polignac number, because 11100110101001 - 2¹⁰ = 11100110099977 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 11100110101001.

It is not an unprimeable number, because it can be changed into a prime (11100110101007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111061151 + ... + 111161051.

It is an arithmetic number, because the mean of its divisors is an integer number (706577874420).

Almost surely, 2^{11100110101001} is an apocalyptic number.

It is an amenable number.

11100110101001 is a deficient number, since it is larger than the sum of its proper divisors (205135889719).

11100110101001 is a wasteful number, since it uses less digits than its factorization.

11100110101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102776.

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 11100110101001 its reverse (10010101100111), we get a palindrome (21110211201112).

The spelling of 11100110101001 in words is "eleven trillion, one hundred billion, one hundred ten million, one hundred one thousand, one".