101011000998959 has 2 divisors, whose sum is σ = 101011000998960. Its totient is φ = 101011000998958.

The previous prime is 101011000998889. The next prime is 101011000998983. The reversal of 101011000998959 is 959899000110101.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 101011000998959 - 2¹² = 101011000994863 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101011000998959.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101011000992959) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50505500499479 + 50505500499480.

It is an arithmetic number, because the mean of its divisors is an integer number (50505500499480).

Almost surely, 2^{101011000998959} is an apocalyptic number.

101011000998959 is a deficient number, since it is larger than the sum of its proper divisors (1).

101011000998959 is an equidigital number, since it uses as much as digits as its factorization.

101011000998959 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 262440, while the sum is 53.

The spelling of 101011000998959 in words is "one hundred one trillion, eleven billion, nine hundred ninety-eight thousand, nine hundred fifty-nine".