101075537086859 has 2 divisors, whose sum is σ = 101075537086860. Its totient is φ = 101075537086858.

The previous prime is 101075537086817. The next prime is 101075537086891. The reversal of 101075537086859 is 958680735570101.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 101075537086859 - 2¹² = 101075537082763 is a prime.

It is a super-3 number, since 3×101075537086859³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 101075537086795 and 101075537086804.

It is not a weakly prime, because it can be changed into another prime (101075537086159) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50537768543429 + 50537768543430.

It is an arithmetic number, because the mean of its divisors is an integer number (50537768543430).

Almost surely, 2^{101075537086859} is an apocalyptic number.

101075537086859 is a deficient number, since it is larger than the sum of its proper divisors (1).

101075537086859 is an equidigital number, since it uses as much as digits as its factorization.

101075537086859 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 63504000, while the sum is 65.

The spelling of 101075537086859 in words is "one hundred one trillion, seventy-five billion, five hundred thirty-seven million, eighty-six thousand, eight hundred fifty-nine".