10101201112241 has 2 divisors, whose sum is σ = 10101201112242. Its totient is φ = 10101201112240.

The previous prime is 10101201112187. The next prime is 10101201112253. The reversal of 10101201112241 is 14221110210101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10081393364641 + 19807747600 = 3175121^2 + 140740^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10101201112241 is a prime.

It is not a weakly prime, because it can be changed into another prime (10101201112441) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050600556120 + 5050600556121.

It is an arithmetic number, because the mean of its divisors is an integer number (5050600556121).

Almost surely, 2^{10101201112241} is an apocalyptic number.

It is an amenable number.

10101201112241 is a deficient number, since it is larger than the sum of its proper divisors (1).

10101201112241 is an equidigital number, since it uses as much as digits as its factorization.

10101201112241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 10101201112241 its reverse (14221110210101), we get a palindrome (24322311322342).

The spelling of 10101201112241 in words is "ten trillion, one hundred one billion, two hundred one million, one hundred twelve thousand, two hundred forty-one".