110111111000101 has 16 divisors (see below), whose sum is σ = 113222393399808. Its totient is φ = 107020163433600.

The previous prime is 110111111000063. The next prime is 110111111000131. The reversal of 110111111000101 is 101000111111011.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 110111111000101 - 2¹³ = 110111110991909 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 (110111111000131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135114616 + ... + 135927118.

It is an arithmetic number, because the mean of its divisors is an integer number (7076399587488).

Almost surely, 2^{110111111000101} is an apocalyptic number.

It is an amenable number.

110111111000101 is a deficient number, since it is larger than the sum of its proper divisors (3111282399707).

110111111000101 is a wasteful number, since it uses less digits than its factorization.

110111111000101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 825012.

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

Adding to 110111111000101 its reverse (101000111111011), we get a palindrome (211111222111112).

The spelling of 110111111000101 in words is "one hundred ten trillion, one hundred eleven billion, one hundred eleven million, one hundred one", and thus it is an aban number.