101110002241 has 2 divisors, whose sum is σ = 101110002242. Its totient is φ = 101110002240.

The previous prime is 101110002167. The next prime is 101110002271. The reversal of 101110002241 is 142200011101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 57502121616 + 43607880625 = 239796^2 + 208825^2 .

It is a cyclic number.

It is not a de Polignac number, because 101110002241 - 2¹¹ = 101110000193 is a prime.

It is not a weakly prime, because it can be changed into another prime (101110002271) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50555001120 + 50555001121.

It is an arithmetic number, because the mean of its divisors is an integer number (50555001121).

Almost surely, 2^101110002241 is an apocalyptic number.

It is an amenable number.

101110002241 is a deficient number, since it is larger than the sum of its proper divisors (1).

101110002241 is an equidigital number, since it uses as much as digits as its factorization.

101110002241 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 13.

Adding to 101110002241 its reverse (142200011101), we get a palindrome (243310013342).

The spelling of 101110002241 in words is "one hundred one billion, one hundred ten million, two thousand, two hundred forty-one".