110101110111001 has 8 divisors (see below), whose sum is σ = 111186866017224. Its totient is φ = 109017308762880.

The previous prime is 110101110110993. The next prime is 110101110111023. The reversal of 110101110111001 is 100111011101011.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 197757200601 + 109903352910400 = 444699^2 + 10483480^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 110101110111001 - 2³ = 110101110110993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (110101110111061) 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 7 ways as a sum of consecutive naturals, for example, 488526310 + ... + 488751631.

It is an arithmetic number, because the mean of its divisors is an integer number (13898358252153).

Almost surely, 2^{110101110111001} is an apocalyptic number.

It is an amenable number.

110101110111001 is a deficient number, since it is larger than the sum of its proper divisors (1085755906223).

110101110111001 is an equidigital number, since it uses as much as digits as its factorization.

110101110111001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 977279051.

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

Adding to 110101110111001 its reverse (100111011101011), we get a palindrome (210212121212012).

The spelling of 110101110111001 in words is "one hundred ten trillion, one hundred one billion, one hundred ten million, one hundred eleven thousand, one".