110110110110101 has 16 divisors (see below), whose sum is σ = 111426904911168. Its totient is φ = 108797921856000.

The previous prime is 110110110110083. The next prime is 110110110110113. The reversal of 110110110110101 is 101011011011011.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 110110110110101 - 2²⁷ = 110109975892373 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 (110110110110201) 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, 134739010 + ... + 135553756.

It is an arithmetic number, because the mean of its divisors is an integer number (6964181556948).

Almost surely, 2^{110110110110101} is an apocalyptic number.

It is an amenable number.

110110110110101 is a deficient number, since it is larger than the sum of its proper divisors (1316794801067).

110110110110101 is a wasteful number, since it uses less digits than its factorization.

110110110110101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 817572.

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

Adding to 110110110110101 its reverse (101011011011011), we get a palindrome (211121121121112).

It can be divided in two parts, 11011011011010 and 1, that added together give a palindrome (11011011011011).

The spelling of 110110110110101 in words is "one hundred ten trillion, one hundred ten billion, one hundred ten million, one hundred ten thousand, one hundred one".