101859859505561 has 2 divisors, whose sum is σ = 101859859505562. Its totient is φ = 101859859505560.

The previous prime is 101859859505519. The next prime is 101859859505609. The reversal of 101859859505561 is 165505958958101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 75364709251225 + 26495150254336 = 8681285^2 + 5147344^2 .

It is a cyclic number.

It is not a de Polignac number, because 101859859505561 - 2⁶ = 101859859505497 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101859859505491 and 101859859505500.

It is not a weakly prime, because it can be changed into another prime (101859859504561) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50929929752780 + 50929929752781.

It is an arithmetic number, because the mean of its divisors is an integer number (50929929752781).

Almost surely, 2^{101859859505561} is an apocalyptic number.

It is an amenable number.

101859859505561 is a deficient number, since it is larger than the sum of its proper divisors (1).

101859859505561 is an equidigital number, since it uses as much as digits as its factorization.

101859859505561 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 97200000, while the sum is 68.

The spelling of 101859859505561 in words is "one hundred one trillion, eight hundred fifty-nine billion, eight hundred fifty-nine million, five hundred five thousand, five hundred sixty-one".