110010111011101 has 12 divisors (see below), whose sum is σ = 135498648137148. Its totient is φ = 88747652579712.

The previous prime is 110010111011039. The next prime is 110010111011161. The reversal of 110010111011101 is 101110111010011.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 103393003015225 + 6617107995876 = 10168235^2 + 2572374^2 .

It is not a de Polignac number, because 110010111011101 - 2²³ = 110010102622493 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 (110010111011161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 66032478766 + ... + 66032480431.

It is an arithmetic number, because the mean of its divisors is an integer number (11291554011429).

Almost surely, 2^{110010111011101} is an apocalyptic number.

It is an amenable number.

110010111011101 is a deficient number, since it is larger than the sum of its proper divisors (25488537126047).

110010111011101 is a wasteful number, since it uses less digits than its factorization.

110010111011101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132064959228 (or 132064959221 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 10.

Adding to 110010111011101 its reverse (101110111010011), we get a palindrome (211120222021112).

It can be divided in two parts, 110010 and 111011101, that added together give a palindrome (111121111).

The spelling of 110010111011101 in words is "one hundred ten trillion, ten billion, one hundred eleven million, eleven thousand, one hundred one".