110010101101001 has 8 divisors (see below), whose sum is σ = 110035487619720. Its totient is φ = 109984715308288.

The previous prime is 110010101100997. The next prime is 110010101101007. The reversal of 110010101101001 is 100101101010011.

It can be written as a sum of positive squares in 4 ways, for example, as 67431624976 + 109942669476025 = 259676^2 + 10485355^2 .

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 110010101101001 - 2² = 110010101100997 is a prime.

It is a super-2 number, since 2×110010101101001² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 110010101101001.

It is not an unprimeable number, because it can be changed into a prime (110010101101007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 406200305 + ... + 406471041.

It is an arithmetic number, because the mean of its divisors is an integer number (13754435952465).

Almost surely, 2^{110010101101001} is an apocalyptic number.

It is an amenable number.

110010101101001 is a deficient number, since it is larger than the sum of its proper divisors (25386518719).

110010101101001 is an equidigital number, since it uses as much as digits as its factorization.

110010101101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363003.

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 110010101101001 its reverse (100101101010011), we get a palindrome (210111202111012).

The spelling of 110010101101001 in words is "one hundred ten trillion, ten billion, one hundred one million, one hundred one thousand, one".