110112120100001 has 16 divisors (see below), whose sum is σ = 112139436381120. Its totient is φ = 108090192584640.

The previous prime is 110112120099997. The next prime is 110112120100159. The reversal of 110112120100001 is 100001021211011.

It is a cyclic number.

It is not a de Polignac number, because 110112120100001 - 2² = 110112120099997 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (110112120100601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 638715251 + ... + 638887623.

It is an arithmetic number, because the mean of its divisors is an integer number (7008714773820).

Almost surely, 2^{110112120100001} is an apocalyptic number.

It is an amenable number.

110112120100001 is a deficient number, since it is larger than the sum of its proper divisors (2027316281119).

110112120100001 is a wasteful number, since it uses less digits than its factorization.

110112120100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187936.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 110112120100001 its reverse (100001021211011), we get a palindrome (210113141311012).

The spelling of 110112120100001 in words is "one hundred ten trillion, one hundred twelve billion, one hundred twenty million, one hundred thousand, one".