101185147006859 has 2 divisors, whose sum is σ = 101185147006860. Its totient is φ = 101185147006858.

The previous prime is 101185147006831. The next prime is 101185147006861. The reversal of 101185147006859 is 958600741581101.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101185147006859 is a prime.

It is a super-3 number, since 3×101185147006859³ (a number of 43 digits) contains 333 as substring.

Together with 101185147006861, 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 (101185147206859) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50592573503429 + 50592573503430.

It is an arithmetic number, because the mean of its divisors is an integer number (50592573503430).

Almost surely, 2^{101185147006859} is an apocalyptic number.

101185147006859 is a deficient number, since it is larger than the sum of its proper divisors (1).

101185147006859 is an equidigital number, since it uses as much as digits as its factorization.

101185147006859 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2419200, while the sum is 56.

The spelling of 101185147006859 in words is "one hundred one trillion, one hundred eighty-five billion, one hundred forty-seven million, six thousand, eight hundred fifty-nine".