110110111110001 has 16 divisors (see below), whose sum is σ = 111233570647248. Its totient is φ = 108987310080000.

The previous prime is 110110111109981. The next prime is 110110111110011. The reversal of 110110111110001 is 100011111011011.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 69174734608225 + 40935376501776 = 8317135^2 + 6398076^2 .

It is a cyclic number.

It is not a de Polignac number, because 110110111110001 - 2⁹ = 110110111109489 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 110110111110001.

It is not an unprimeable number, because it can be changed into a prime (110110111110011) 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, 7937001001 + ... + 7937014873.

It is an arithmetic number, because the mean of its divisors is an integer number (6952098165453).

Almost surely, 2^{110110111110001} is an apocalyptic number.

It is an amenable number.

110110111110001 is a deficient number, since it is larger than the sum of its proper divisors (1123459537247).

110110111110001 is a wasteful number, since it uses less digits than its factorization.

110110111110001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31812.

The product of its (nonzero) digits is 1, while the sum is 10.

Adding to 110110111110001 its reverse (100011111011011), we get a palindrome (210121222121012).

The spelling of 110110111110001 in words is "one hundred ten trillion, one hundred ten billion, one hundred eleven million, one hundred ten thousand, one".