11101101100101 has 6 divisors (see below), whose sum is σ = 16034923811270. Its totient is φ = 7400734066728.

The previous prime is 11101101100093. The next prime is 11101101100127. The reversal of 11101101100101 is 10100110110111.

It can be written as a sum of positive squares in only one way, i.e., 7704654827076 + 3396446273025 = 2775726^2 + 1842945^2 .

It is not a de Polignac number, because 11101101100101 - 2³ = 11101101100093 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 1233455677789 = 11101101100101 / (1 + 1 + 1 + 0 + 1 + 1 + 0 + 1 + 1 + 0 + 0 + 1 + 0 + 1).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11101101100301) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 616727838886 + ... + 616727838903.

Almost surely, 2^{11101101100101} is an apocalyptic number.

It is an amenable number.

11101101100101 is a deficient number, since it is larger than the sum of its proper divisors (4933822711169).

11101101100101 is a wasteful number, since it uses less digits than its factorization.

11101101100101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1233455677795 (or 1233455677792 counting only the distinct ones).

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

Adding to 11101101100101 its reverse (10100110110111), we get a palindrome (21201211210212).

The spelling of 11101101100101 in words is "eleven trillion, one hundred one billion, one hundred one million, one hundred thousand, one hundred one".