110122001112001 has 2 divisors, whose sum is σ = 110122001112002. Its totient is φ = 110122001112000.

The previous prime is 110122001111989. The next prime is 110122001112007. The reversal of 110122001112001 is 100211100221011.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 76925090783025 + 33196910328976 = 8770695^2 + 5761676^2 .

It is a cyclic number.

It is not a de Polignac number, because 110122001112001 - 2³³ = 110113411177409 is a prime.

It is not a weakly prime, because it can be changed into another prime (110122001112007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55061000556000 + 55061000556001.

It is an arithmetic number, because the mean of its divisors is an integer number (55061000556001).

Almost surely, 2^{110122001112001} is an apocalyptic number.

It is an amenable number.

110122001112001 is a deficient number, since it is larger than the sum of its proper divisors (1).

110122001112001 is an equidigital number, since it uses as much as digits as its factorization.

110122001112001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 110122001112001 its reverse (100211100221011), we get a palindrome (210333101333012).

The spelling of 110122001112001 in words is "one hundred ten trillion, one hundred twenty-two billion, one million, one hundred twelve thousand, one".