101101001000959 has 2 divisors, whose sum is σ = 101101001000960. Its totient is φ = 101101001000958.

The previous prime is 101101001000953. The next prime is 101101001000969. The reversal of 101101001000959 is 959000100101101.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 101101001000959 - 2¹¹ = 101101000998911 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101101001000953) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50550500500479 + 50550500500480.

It is an arithmetic number, because the mean of its divisors is an integer number (50550500500480).

Almost surely, 2^{101101001000959} is an apocalyptic number.

101101001000959 is a deficient number, since it is larger than the sum of its proper divisors (1).

101101001000959 is an equidigital number, since it uses as much as digits as its factorization.

101101001000959 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 405, while the sum is 28.

The spelling of 101101001000959 in words is "one hundred one trillion, one hundred one billion, one million, nine hundred fifty-nine", and thus it is an aban number.