110110100110001 has 12 divisors (see below), whose sum is σ = 116975455398912. Its totient is φ = 103626579367488.

The previous prime is 110110100109949. The next prime is 110110100110007. The reversal of 110110100110001 is 100011001011011.

It is not a de Polignac number, because 110110100110001 - 2³⁴ = 110092920240817 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (110110100110007) 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, 7217465 + ... + 16501878.

It is an arithmetic number, because the mean of its divisors is an integer number (9747954616576).

Almost surely, 2^{110110100110001} is an apocalyptic number.

It is an amenable number.

110110100110001 is a deficient number, since it is larger than the sum of its proper divisors (6865355288911).

110110100110001 is a wasteful number, since it uses less digits than its factorization.

110110100110001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23735440 (or 23735423 counting only the distinct ones).

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

Adding to 110110100110001 its reverse (100011001011011), we get a palindrome (210121101121012).

The spelling of 110110100110001 in words is "one hundred ten trillion, one hundred ten billion, one hundred million, one hundred ten thousand, one".