101241134240417 has 2 divisors, whose sum is σ = 101241134240418. Its totient is φ = 101241134240416.

The previous prime is 101241134240273. The next prime is 101241134240447. The reversal of 101241134240417 is 714042431142101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 68218745567296 + 33022388673121 = 8259464^2 + 5746511^2 .

It is a cyclic number.

It is not a de Polignac number, because 101241134240417 - 2¹⁸ = 101241133978273 is a prime.

It is a super-2 number, since 2×101241134240417² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101241134240447) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50620567120208 + 50620567120209.

It is an arithmetic number, because the mean of its divisors is an integer number (50620567120209).

Almost surely, 2^{101241134240417} is an apocalyptic number.

It is an amenable number.

101241134240417 is a deficient number, since it is larger than the sum of its proper divisors (1).

101241134240417 is an equidigital number, since it uses as much as digits as its factorization.

101241134240417 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 21504, while the sum is 35.

Adding to 101241134240417 its reverse (714042431142101), we get a palindrome (815283565382518).

The spelling of 101241134240417 in words is "one hundred one trillion, two hundred forty-one billion, one hundred thirty-four million, two hundred forty thousand, four hundred seventeen".