101302121212417 has 2 divisors, whose sum is σ = 101302121212418. Its totient is φ = 101302121212416.

The previous prime is 101302121212373. The next prime is 101302121212427. The reversal of 101302121212417 is 714212121203101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 94612661425216 + 6689459787201 = 9726904^2 + 2586399^2 .

It is a cyclic number.

It is not a de Polignac number, because 101302121212417 - 2¹⁹ = 101302120688129 is a prime.

It is not a weakly prime, because it can be changed into another prime (101302121212427) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50651060606208 + 50651060606209.

It is an arithmetic number, because the mean of its divisors is an integer number (50651060606209).

Almost surely, 2^{101302121212417} is an apocalyptic number.

It is an amenable number.

101302121212417 is a deficient number, since it is larger than the sum of its proper divisors (1).

101302121212417 is an equidigital number, since it uses as much as digits as its factorization.

101302121212417 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1344, while the sum is 28.

Adding to 101302121212417 its reverse (714212121203101), we get a palindrome (815514242415518).

The spelling of 101302121212417 in words is "one hundred one trillion, three hundred two billion, one hundred twenty-one million, two hundred twelve thousand, four hundred seventeen".