10110111102241 has 2 divisors, whose sum is σ = 10110111102242. Its totient is φ = 10110111102240.

The previous prime is 10110111102239. The next prime is 10110111102253. The reversal of 10110111102241 is 14220111101101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10110015140625 + 95961616 = 3179625^2 + 9796^2 .

It is an emirp because it is prime and its reverse (14220111101101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10110111102241 - 2¹ = 10110111102239 is a prime.

Together with 10110111102239, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (10110111102841) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5055055551120 + 5055055551121.

It is an arithmetic number, because the mean of its divisors is an integer number (5055055551121).

Almost surely, 2^{10110111102241} is an apocalyptic number.

It is an amenable number.

10110111102241 is a deficient number, since it is larger than the sum of its proper divisors (1).

10110111102241 is an equidigital number, since it uses as much as digits as its factorization.

10110111102241 is an evil number, because the sum of its binary digits is even.

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

Adding to 10110111102241 its reverse (14220111101101), we get a palindrome (24330222203342).

The spelling of 10110111102241 in words is "ten trillion, one hundred ten billion, one hundred eleven million, one hundred two thousand, two hundred forty-one".