10011010111101 has 20 divisors (see below), whose sum is σ = 14984099456700. Its totient is φ = 6660894715776.

The previous prime is 10011010111093. The next prime is 10011010111169. The reversal of 10011010111101 is 10111101011001.

It can be written as a sum of positive squares in 2 ways, for example, as 2847352508100 + 7163657603001 = 1687410^2 + 2676501^2 .

It is not a de Polignac number, because 10011010111101 - 2³ = 10011010111093 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 (10011010111601) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 121366156 + ... + 121448613.

It is an arithmetic number, because the mean of its divisors is an integer number (749204972835).

Almost surely, 2^{10011010111101} is an apocalyptic number.

It is an amenable number.

10011010111101 is a deficient number, since it is larger than the sum of its proper divisors (4973089345599).

10011010111101 is an equidigital number, since it uses as much as digits as its factorization.

10011010111101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242815290 (or 242815281 counting only the distinct ones).

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

Adding to 10011010111101 its reverse (10111101011001), we get a palindrome (20122111122102).

The spelling of 10011010111101 in words is "ten trillion, eleven billion, ten million, one hundred eleven thousand, one hundred one".