110100110100101 has 16 divisors (see below), whose sum is σ = 121712399238528. Its totient is φ = 98761783512000.

The previous prime is 110100110100083. The next prime is 110100110100109. The reversal of 110100110100101 is 101001011001011.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-110100110100101 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 (110100110100109) 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 15 ways as a sum of consecutive naturals, for example, 168787121 + ... + 169438166.

It is an arithmetic number, because the mean of its divisors is an integer number (7607024952408).

Almost surely, 2^{110100110100101} is an apocalyptic number.

110100110100101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

110100110100101 is a deficient number, since it is larger than the sum of its proper divisors (11612289138427).

110100110100101 is a wasteful number, since it uses less digits than its factorization.

110100110100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338225692.

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 110100110100101 its reverse (101001011001011), we get a palindrome (211101121101112).

The spelling of 110100110100101 in words is "one hundred ten trillion, one hundred billion, one hundred ten million, one hundred thousand, one hundred one".