110010110001001 has 16 divisors (see below), whose sum is σ = 126078407686144. Its totient is φ = 94030275352464.

The previous prime is 110010110000963. The next prime is 110010110001061. The reversal of 110010110001001 is 100100011010011.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 110010110001001 - 2¹⁵ = 110010109968233 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (110010110001061) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9267681 + ... + 17490286.

It is an arithmetic number, because the mean of its divisors is an integer number (7879900480384).

Almost surely, 2^{110010110001001} is an apocalyptic number.

It is an amenable number.

110010110001001 is a deficient number, since it is larger than the sum of its proper divisors (16068297685143).

110010110001001 is a wasteful number, since it uses less digits than its factorization.

110010110001001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26759620.

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

Adding to 110010110001001 its reverse (100100011010011), we get a palindrome (210110121011012).

It can be divided in two parts, 110010 and 110001001, that added together give a palindrome (110111011).

The spelling of 110010110001001 in words is "one hundred ten trillion, ten billion, one hundred ten million, one thousand, one".