101418413417 has 2 divisors, whose sum is σ = 101418413418. Its totient is φ = 101418413416.

The previous prime is 101418413333. The next prime is 101418413419. The reversal of 101418413417 is 714314814101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 92914622761 + 8503790656 = 304819^2 + 92216^2 .

It is a cyclic number.

It is not a de Polignac number, because 101418413417 - 2²⁸ = 101149977961 is a prime.

Together with 101418413419, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (101418413419) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50709206708 + 50709206709.

It is an arithmetic number, because the mean of its divisors is an integer number (50709206709).

Almost surely, 2^101418413417 is an apocalyptic number.

It is an amenable number.

101418413417 is a deficient number, since it is larger than the sum of its proper divisors (1).

101418413417 is an equidigital number, since it uses as much as digits as its factorization.

101418413417 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10752, while the sum is 35.

The spelling of 101418413417 in words is "one hundred one billion, four hundred eighteen million, four hundred thirteen thousand, four hundred seventeen".