110110111101001 has 16 divisors (see below), whose sum is σ = 122090220100800. Its totient is φ = 98458376558400.

The previous prime is 110110111100971. The next prime is 110110111101013. The reversal of 110110111101001 is 100101111011011.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 110110111101001 - 2¹⁵ = 110110111068233 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (110110115101001) 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 15 ways as a sum of consecutive naturals, for example, 101411055 + ... + 102491083.

It is an arithmetic number, because the mean of its divisors is an integer number (7630638756300).

Almost surely, 2^{110110111101001} is an apocalyptic number.

110110111101001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

110110111101001 is a deficient number, since it is larger than the sum of its proper divisors (11980108999799).

110110111101001 is a wasteful number, since it uses less digits than its factorization.

110110111101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1232040.

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

Adding to 110110111101001 its reverse (100101111011011), we get a palindrome (210211222112012).

The spelling of 110110111101001 in words is "one hundred ten trillion, one hundred ten billion, one hundred eleven million, one hundred one thousand, one".