110010110101001 has 8 divisors (see below), whose sum is σ = 121199257214208. Its totient is φ = 99019000990000.

The previous prime is 110010110100971. The next prime is 110010110101037. The reversal of 110010110101001 is 100101011010011.

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 110010110101001 - 2²² = 110010105906697 is a prime.

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 110010110101001.

It is not an unprimeable number, because it can be changed into a prime (110010110181001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49509499385 + ... + 49509501606.

It is an arithmetic number, because the mean of its divisors is an integer number (15149907151776).

Almost surely, 2^{110010110101001} is an apocalyptic number.

110010110101001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

110010110101001 is a deficient number, since it is larger than the sum of its proper divisors (11189147113207).

110010110101001 is a wasteful number, since it uses less digits than its factorization.

110010110101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99019001103.

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

Adding to 110010110101001 its reverse (100101011010011), we get a palindrome (210111121111012).

The spelling of 110010110101001 in words is "one hundred ten trillion, ten billion, one hundred ten million, one hundred one thousand, one".