110110100001 has 16 divisors (see below), whose sum is σ = 160245563328. Its totient is φ = 66697803200.

The previous prime is 110110099997. The next prime is 110110100039. The reversal of 110110100001 is 100001011011.

It is a cyclic number.

It is not a de Polignac number, because 110110100001 - 2² = 110110099997 is a prime.

It is not an unprimeable number, because it can be changed into a prime (110110100071) 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, 826890 + ... + 950771.

It is an arithmetic number, because the mean of its divisors is an integer number (10015347708).

Almost surely, 2^110110100001 is an apocalyptic number.

110110100001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

110110100001 is a deficient number, since it is larger than the sum of its proper divisors (50135463327).

110110100001 is a wasteful number, since it uses less digits than its factorization.

110110100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1779552.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 110110100001 its reverse (100001011011), we get a palindrome (210111111012).

The spelling of 110110100001 in words is "one hundred ten billion, one hundred ten million, one hundred thousand, one".