110131212101201 has 2 divisors, whose sum is σ = 110131212101202. Its totient is φ = 110131212101200.

The previous prime is 110131212101159. The next prime is 110131212101243. The reversal of 110131212101201 is 102101212131011.

It is a balanced prime because it is at equal distance from previous prime (110131212101159) and next prime (110131212101243).

It can be written as a sum of positive squares in only one way, i.e., 104874005121601 + 5257206979600 = 10240801^2 + 2292860^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-110131212101201 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 110131212101201.

It is not a weakly prime, because it can be changed into another prime (110131212101101) 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 as a sum of consecutive naturals, namely, 55065606050600 + 55065606050601.

It is an arithmetic number, because the mean of its divisors is an integer number (55065606050601).

Almost surely, 2^{110131212101201} is an apocalyptic number.

It is an amenable number.

110131212101201 is a deficient number, since it is larger than the sum of its proper divisors (1).

110131212101201 is an equidigital number, since it uses as much as digits as its factorization.

110131212101201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 17.

Adding to 110131212101201 its reverse (102101212131011), we get a palindrome (212232424232212).

The spelling of 110131212101201 in words is "one hundred ten trillion, one hundred thirty-one billion, two hundred twelve million, one hundred one thousand, two hundred one".