11101100110101 has 24 divisors (see below), whose sum is σ = 16039991986200. Its totient is φ = 7398394039296.

The previous prime is 11101100110039. The next prime is 11101100110103. The reversal of 11101100110101 is 10101100110111.

It can be written as a sum of positive squares in 4 ways, for example, as 9255278978001 + 1845821132100 = 3042249^2 + 1358610^2 .

It is not a de Polignac number, because 11101100110101 - 2¹⁴ = 11101100093717 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 (11101100110103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 487370625 + ... + 487393401.

It is an arithmetic number, because the mean of its divisors is an integer number (668332999425).

Almost surely, 2^{11101100110101} is an apocalyptic number.

It is an amenable number.

11101100110101 is a deficient number, since it is larger than the sum of its proper divisors (4938891876099).

11101100110101 is a wasteful number, since it uses less digits than its factorization.

11101100110101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37525 (or 37522 counting only the distinct ones).

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

Adding to 11101100110101 its reverse (10101100110111), we get a palindrome (21202200220212).

The spelling of 11101100110101 in words is "eleven trillion, one hundred one billion, one hundred million, one hundred ten thousand, one hundred one".