110111101000101 has 6 divisors (see below), whose sum is σ = 159049368111270. Its totient is φ = 73407400666728.

The previous prime is 110111101000057. The next prime is 110111101000133. The reversal of 110111101000101 is 101000101111011.

It can be written as a sum of positive squares in only one way, i.e., 90677339676225 + 19433761323876 = 9522465^2 + 4408374^2 .

It is not a de Polignac number, because 110111101000101 - 2²¹ = 110111098902949 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 12234566777789 = 110111101000101 / (1 + 1 + 0 + 1 + 1 + 1 + 1 + 0 + 1 + 0 + 0 + 0 + 1 + 0 + 1).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110111101000141) 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 5 ways as a sum of consecutive naturals, for example, 6117283388886 + ... + 6117283388903.

It is an arithmetic number, because the mean of its divisors is an integer number (26508228018545).

Almost surely, 2^{110111101000101} is an apocalyptic number.

It is an amenable number.

110111101000101 is a deficient number, since it is larger than the sum of its proper divisors (48938267111169).

110111101000101 is a wasteful number, since it uses less digits than its factorization.

110111101000101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12234566777795 (or 12234566777792 counting only the distinct ones).

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

Adding to 110111101000101 its reverse (101000101111011), we get a palindrome (211111202111112).

The spelling of 110111101000101 in words is "one hundred ten trillion, one hundred eleven billion, one hundred one million, one hundred one", and thus it is an aban number.