11101000110101 has 16 divisors (see below), whose sum is σ = 12383480491200. Its totient is φ = 9865959523200.

The previous prime is 11101000110089. The next prime is 11101000110119. The reversal of 11101000110101 is 10101100010111.

It is not a de Polignac number, because 11101000110101 - 2³⁴ = 11083820240917 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11101000110181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47133296 + ... + 47368233.

It is an arithmetic number, because the mean of its divisors is an integer number (773967530700).

Almost surely, 2^{11101000110101} is an apocalyptic number.

11101000110101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11101000110101 is a deficient number, since it is larger than the sum of its proper divisors (1282480381099).

11101000110101 is a wasteful number, since it uses less digits than its factorization.

11101000110101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94501780.

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

Adding to 11101000110101 its reverse (10101100010111), we get a palindrome (21202100120212).

The spelling of 11101000110101 in words is "eleven trillion, one hundred one billion, one hundred ten thousand, one hundred one".