110113311122201 has 2 divisors, whose sum is σ = 110113311122202. Its totient is φ = 110113311122200.

The previous prime is 110113311122189. The next prime is 110113311122203. The reversal of 110113311122201 is 102221113311011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 85351729960000 + 24761581162201 = 9238600^2 + 4976101^2 .

It is a cyclic number.

It is not a de Polignac number, because 110113311122201 - 2³⁸ = 109838433215257 is a prime.

Together with 110113311122203, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (110113311122203) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55056655561100 + 55056655561101.

It is an arithmetic number, because the mean of its divisors is an integer number (55056655561101).

Almost surely, 2^{110113311122201} is an apocalyptic number.

It is an amenable number.

110113311122201 is a deficient number, since it is larger than the sum of its proper divisors (1).

110113311122201 is an equidigital number, since it uses as much as digits as its factorization.

110113311122201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 20.

Adding to 110113311122201 its reverse (102221113311011), we get a palindrome (212334424433212).

The spelling of 110113311122201 in words is "one hundred ten trillion, one hundred thirteen billion, three hundred eleven million, one hundred twenty-two thousand, two hundred one".