101614520121217 has 2 divisors, whose sum is σ = 101614520121218. Its totient is φ = 101614520121216.

The previous prime is 101614520121211. The next prime is 101614520121307. The reversal of 101614520121217 is 712121025416101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 92708378133361 + 8906141987856 = 9628519^2 + 2984316^2 .

It is a cyclic number.

It is not a de Polignac number, because 101614520121217 - 2²³ = 101614511732609 is a prime.

It is a super-2 number, since 2×101614520121217² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101614520121211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50807260060608 + 50807260060609.

It is an arithmetic number, because the mean of its divisors is an integer number (50807260060609).

Almost surely, 2^{101614520121217} is an apocalyptic number.

It is an amenable number.

101614520121217 is a deficient number, since it is larger than the sum of its proper divisors (1).

101614520121217 is an equidigital number, since it uses as much as digits as its factorization.

101614520121217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6720, while the sum is 34.

Adding to 101614520121217 its reverse (712121025416101), we get a palindrome (813735545537318).

The spelling of 101614520121217 in words is "one hundred one trillion, six hundred fourteen billion, five hundred twenty million, one hundred twenty-one thousand, two hundred seventeen".