101053526417 has 2 divisors, whose sum is σ = 101053526418. Its totient is φ = 101053526416.

The previous prime is 101053526359. The next prime is 101053526419. The reversal of 101053526417 is 714625350101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 56017895761 + 45035630656 = 236681^2 + 212216^2 .

It is a cyclic number.

It is not a de Polignac number, because 101053526417 - 2¹⁰ = 101053525393 is a prime.

It is a super-2 number, since 2×101053526417² (a number of 23 digits) contains 22 as substring.

Together with 101053526419, 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 (101053526419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50526763208 + 50526763209.

It is an arithmetic number, because the mean of its divisors is an integer number (50526763209).

Almost surely, 2^101053526417 is an apocalyptic number.

It is an amenable number.

101053526417 is a deficient number, since it is larger than the sum of its proper divisors (1).

101053526417 is an equidigital number, since it uses as much as digits as its factorization.

101053526417 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 25200, while the sum is 35.

Adding to 101053526417 its reverse (714625350101), we get a palindrome (815678876518).

The spelling of 101053526417 in words is "one hundred one billion, fifty-three million, five hundred twenty-six thousand, four hundred seventeen".