101001101109959 has 2 divisors, whose sum is σ = 101001101109960. Its totient is φ = 101001101109958.

The previous prime is 101001101109929. The next prime is 101001101110001. The reversal of 101001101109959 is 959901101100101.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101001101109959 is a prime.

It is a super-2 number, since 2×101001101109959² (a number of 29 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101001101109919) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50500550554979 + 50500550554980.

It is an arithmetic number, because the mean of its divisors is an integer number (50500550554980).

Almost surely, 2^{101001101109959} is an apocalyptic number.

101001101109959 is a deficient number, since it is larger than the sum of its proper divisors (1).

101001101109959 is an equidigital number, since it uses as much as digits as its factorization.

101001101109959 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3645, while the sum is 38.

The spelling of 101001101109959 in words is "one hundred one trillion, one billion, one hundred one million, one hundred nine thousand, nine hundred fifty-nine".