110001100101001 has 4 divisors (see below), whose sum is σ = 110164548987412. Its totient is φ = 109837651214592.

The previous prime is 110001100100999. The next prime is 110001100101017. The reversal of 110001100101001 is 100101001100011.

It is a happy number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 20394978566400 + 89606121534601 = 4516080^2 + 9466051^2 .

It is a cyclic number.

It is not a de Polignac number, because 110001100101001 - 2¹ = 110001100100999 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (110001100101031) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 81724442196 + ... + 81724443541.

It is an arithmetic number, because the mean of its divisors is an integer number (27541137246853).

Almost surely, 2^{110001100101001} is an apocalyptic number.

It is an amenable number.

110001100101001 is a deficient number, since it is larger than the sum of its proper divisors (163448886411).

110001100101001 is an equidigital number, since it uses as much as digits as its factorization.

110001100101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163448886410.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 110001100101001 its reverse (100101001100011), we get a palindrome (210102101201012).

The spelling of 110001100101001 in words is "one hundred ten trillion, one billion, one hundred million, one hundred one thousand, one".