110112122112001 has 6 divisors (see below), whose sum is σ = 115107757142210. Its totient is φ = 105324638541408.

The previous prime is 110112122111977. The next prime is 110112122112011. The reversal of 110112122112001 is 100211221211011.

It can be written as a sum of positive squares in only one way, i.e., 83159826878401 + 26952295233600 = 9119201^2 + 5191560^2 .

It is a de Polignac number, because none of the positive numbers 2^k-110112122112001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (110112122112011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 104075729256 + ... + 104075730313.

Almost surely, 2^{110112122112001} is an apocalyptic number.

It is an amenable number.

110112122112001 is a deficient number, since it is larger than the sum of its proper divisors (4995635030209).

110112122112001 is an equidigital number, since it uses as much as digits as its factorization.

110112122112001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208151459615 (or 208151459592 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 110112122112001 its reverse (100211221211011), we get a palindrome (210323343323012).

The spelling of 110112122112001 in words is "one hundred ten trillion, one hundred twelve billion, one hundred twenty-two million, one hundred twelve thousand, one".