110001101111001 has 20 divisors (see below), whose sum is σ = 164323134659200. Its totient is φ = 73333843313976.

The previous prime is 110001101110949. The next prime is 110001101111021. The reversal of 110001101111001 is 100111101100011.

It is not a de Polignac number, because 110001101111001 - 2³³ = 109992511176409 is a prime.

It is a super-3 number, since 3×110001101111001³ (a number of 43 digits) contains 333 as substring.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (110001101111021) 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 19 ways as a sum of consecutive naturals, for example, 27115020 + ... + 30906738.

It is an arithmetic number, because the mean of its divisors is an integer number (8216156732960).

Almost surely, 2^{110001101111001} is an apocalyptic number.

It is an amenable number.

110001101111001 is a deficient number, since it is larger than the sum of its proper divisors (54322033548199).

110001101111001 is an equidigital number, since it uses as much as digits as its factorization.

110001101111001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4149890 (or 4149881 counting only the distinct ones).

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

Adding to 110001101111001 its reverse (100111101100011), we get a palindrome (210112202211012).

The spelling of 110001101111001 in words is "one hundred ten trillion, one billion, one hundred one million, one hundred eleven thousand, one".