101056785441517 has 2 divisors, whose sum is σ = 101056785441518. Its totient is φ = 101056785441516.

The previous prime is 101056785441389. The next prime is 101056785441553. The reversal of 101056785441517 is 715144587650101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 81297524712196 + 19759260729321 = 9016514^2 + 4445139^2 .

It is a cyclic number.

It is not a de Polignac number, because 101056785441517 - 2⁷ = 101056785441389 is a prime.

It is a super-2 number, since 2×101056785441517² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101056785441317) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50528392720758 + 50528392720759.

It is an arithmetic number, because the mean of its divisors is an integer number (50528392720759).

Almost surely, 2^{101056785441517} is an apocalyptic number.

It is an amenable number.

101056785441517 is a deficient number, since it is larger than the sum of its proper divisors (1).

101056785441517 is an equidigital number, since it uses as much as digits as its factorization.

101056785441517 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4704000, while the sum is 55.

The spelling of 101056785441517 in words is "one hundred one trillion, fifty-six billion, seven hundred eighty-five million, four hundred forty-one thousand, five hundred seventeen".