101100105959 has 2 divisors, whose sum is σ = 101100105960. Its totient is φ = 101100105958.

The previous prime is 101100105941. The next prime is 101100105961. The reversal of 101100105959 is 959501001101.

It is a strong prime.

It is an emirp because it is prime and its reverse (959501001101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101100105959 - 2⁸ = 101100105703 is a prime.

Together with 101100105961, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101100105259) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50550052979 + 50550052980.

It is an arithmetic number, because the mean of its divisors is an integer number (50550052980).

Almost surely, 2^101100105959 is an apocalyptic number.

101100105959 is a deficient number, since it is larger than the sum of its proper divisors (1).

101100105959 is an equidigital number, since it uses as much as digits as its factorization.

101100105959 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2025, while the sum is 32.

The spelling of 101100105959 in words is "one hundred one billion, one hundred million, one hundred five thousand, nine hundred fifty-nine".