11101110100101 has 36 divisors (see below), whose sum is σ = 18661714923852. Its totient is φ = 6340488827904.

The previous prime is 11101110100063. The next prime is 11101110100111. The reversal of 11101110100101 is 10100101110111.

It can be written as a sum of positive squares in 2 ways, for example, as 830841365025 + 10270268735076 = 911505^2 + 3204726^2 .

It is not a de Polignac number, because 11101110100101 - 2¹¹ = 11101110098053 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11101110100111) 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 35 ways as a sum of consecutive naturals, for example, 5024766 + ... + 6888431.

It is an arithmetic number, because the mean of its divisors is an integer number (518380970107).

Almost surely, 2^{11101110100101} is an apocalyptic number.

It is an amenable number.

11101110100101 is a deficient number, since it is larger than the sum of its proper divisors (7560604823751).

11101110100101 is a wasteful number, since it uses less digits than its factorization.

11101110100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11915330 (or 11915320 counting only the distinct ones).

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

Adding to 11101110100101 its reverse (10100101110111), we get a palindrome (21201211210212).

The spelling of 11101110100101 in words is "eleven trillion, one hundred one billion, one hundred ten million, one hundred thousand, one hundred one".