110010110111001 has 12 divisors (see below), whose sum is σ = 159822009681828. Its totient is φ = 72916142346144.

The previous prime is 110010110110987. The next prime is 110010110111003. The reversal of 110010110111001 is 100111011010011.

It can be written as a sum of positive squares in 2 ways, for example, as 79822788609600 + 30187321501401 = 8934360^2 + 5494299^2 .

It is not a de Polignac number, because 110010110111001 - 2¹¹ = 110010110108953 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (110010110111003) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35327586790 + ... + 35327589903.

It is an arithmetic number, because the mean of its divisors is an integer number (13318500806819).

Almost surely, 2^{110010110111001} is an apocalyptic number.

It is an amenable number.

110010110111001 is a deficient number, since it is larger than the sum of its proper divisors (49811899570827).

110010110111001 is a wasteful number, since it uses less digits than its factorization.

110010110111001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70655176872 (or 70655176869 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 110010110111001 its reverse (100111011010011), we get a palindrome (210121121121012).

The spelling of 110010110111001 in words is "one hundred ten trillion, ten billion, one hundred ten million, one hundred eleven thousand, one".