110110101100101 has 12 divisors (see below), whose sum is σ = 159078052298880. Its totient is φ = 73392828610920.

The previous prime is 110110101100099. The next prime is 110110101100123. The reversal of 110110101100101 is 101001101011011.

It is not a de Polignac number, because 110110101100101 - 2¹ = 110110101100099 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110110100100101) 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 11 ways as a sum of consecutive naturals, for example, 1158737835 + ... + 1158832856.

It is an arithmetic number, because the mean of its divisors is an integer number (13256504358240).

Almost surely, 2^{110110101100101} is an apocalyptic number.

It is an amenable number.

110110101100101 is a deficient number, since it is larger than the sum of its proper divisors (48967951198779).

110110101100101 is a wasteful number, since it uses less digits than its factorization.

110110101100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2317575976 (or 2317575973 counting only the distinct ones).

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

Adding to 110110101100101 its reverse (101001101011011), we get a palindrome (211111202111112).

The spelling of 110110101100101 in words is "one hundred ten trillion, one hundred ten billion, one hundred one million, one hundred thousand, one hundred one".