110100111100101 has 18 divisors (see below), whose sum is σ = 167844213694950. Its totient is φ = 69536912271696.

The previous prime is 110100111100081. The next prime is 110100111100141. The reversal of 110100111100101 is 101001111001011.

It can be written as a sum of positive squares in only one way, i.e., 107838774857025 + 2261336243076 = 10384545^2 + 1503774^2 .

It is not a de Polignac number, because 110100111100101 - 2⁶ = 110100111100037 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 (110100111100141) 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 17 ways as a sum of consecutive naturals, for example, 16943688826 + ... + 16943695323.

Almost surely, 2^{110100111100101} is an apocalyptic number.

It is an amenable number.

110100111100101 is a deficient number, since it is larger than the sum of its proper divisors (57744102594849).

110100111100101 is a wasteful number, since it uses less digits than its factorization.

110100111100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33887384193 (or 33887384171 counting only the distinct ones).

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

Adding to 110100111100101 its reverse (101001111001011), we get a palindrome (211101222101112).

The spelling of 110100111100101 in words is "one hundred ten trillion, one hundred billion, one hundred eleven million, one hundred thousand, one hundred one".