110001110110101 has 80 divisors (see below), whose sum is σ = 187912055046144. Its totient is φ = 62819384664096.

The previous prime is 110001110110093. The next prime is 110001110110109. The reversal of 110001110110101 is 101011011100011.

It is an interprime number because it is at equal distance from previous prime (110001110110093) and next prime (110001110110109).

It is not a de Polignac number, because 110001110110101 - 2³ = 110001110110093 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 (110001110110109) 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 79 ways as a sum of consecutive naturals, for example, 7777770636 + ... + 7777784778.

Almost surely, 2^{110001110110101} is an apocalyptic number.

It is an amenable number.

110001110110101 is a deficient number, since it is larger than the sum of its proper divisors (77910944936043).

110001110110101 is a wasteful number, since it uses less digits than its factorization.

110001110110101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21572 (or 21563 counting only the distinct ones).

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

Adding to 110001110110101 its reverse (101011011100011), we get a palindrome (211012121210112).

The spelling of 110001110110101 in words is "one hundred ten trillion, one billion, one hundred ten million, one hundred ten thousand, one hundred one".