110101010110001 has 8 divisors (see below), whose sum is σ = 110143170498984. Its totient is φ = 110058855603840.

The previous prime is 110101010109997. The next prime is 110101010110027. The reversal of 110101010110001 is 100011010101011.

It can be written as a sum of positive squares in 4 ways, for example, as 27094315248400 + 83006694861601 = 5205220^2 + 9110801^2 .

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 110101010110001 - 2² = 110101010109997 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (110101010170001) 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, 36151871 + ... + 39078891.

It is an arithmetic number, because the mean of its divisors is an integer number (13767896312373).

Almost surely, 2^{110101010110001} is an apocalyptic number.

It is an amenable number.

110101010110001 is a deficient number, since it is larger than the sum of its proper divisors (42160388983).

110101010110001 is a wasteful number, since it uses less digits than its factorization.

110101010110001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2941411.

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

Adding to 110101010110001 its reverse (100011010101011), we get a palindrome (210112020211012).

The spelling of 110101010110001 in words is "one hundred ten trillion, one hundred one billion, ten million, one hundred ten thousand, one".