101101100111959 has 2 divisors, whose sum is σ = 101101100111960. Its totient is φ = 101101100111958.

The previous prime is 101101100111927. The next prime is 101101100112007. The reversal of 101101100111959 is 959111001101101.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 101101100111959 - 2⁵ = 101101100111927 is a prime.

It is a super-2 number, since 2×101101100111959² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101101100111959.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101101100111359) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50550550055979 + 50550550055980.

It is an arithmetic number, because the mean of its divisors is an integer number (50550550055980).

Almost surely, 2^{101101100111959} is an apocalyptic number.

101101100111959 is a deficient number, since it is larger than the sum of its proper divisors (1).

101101100111959 is an equidigital number, since it uses as much as digits as its factorization.

101101100111959 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 405, while the sum is 31.

The spelling of 101101100111959 in words is "one hundred one trillion, one hundred one billion, one hundred million, one hundred eleven thousand, nine hundred fifty-nine".