101110056105517 has 2 divisors, whose sum is σ = 101110056105518. Its totient is φ = 101110056105516.

The previous prime is 101110056105497. The next prime is 101110056105589. The reversal of 101110056105517 is 715501650011101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 97987251120201 + 3122804985316 = 9898851^2 + 1767146^2 .

It is a cyclic number.

It is not a de Polignac number, because 101110056105517 - 2³⁹ = 100560300291629 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101110056115517) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50555028052758 + 50555028052759.

It is an arithmetic number, because the mean of its divisors is an integer number (50555028052759).

Almost surely, 2^{101110056105517} is an apocalyptic number.

It is an amenable number.

101110056105517 is a deficient number, since it is larger than the sum of its proper divisors (1).

101110056105517 is an equidigital number, since it uses as much as digits as its factorization.

101110056105517 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5250, while the sum is 34.

The spelling of 101110056105517 in words is "one hundred one trillion, one hundred ten billion, fifty-six million, one hundred five thousand, five hundred seventeen".