100105500505091 has 2 divisors, whose sum is σ = 100105500505092. Its totient is φ = 100105500505090.

The previous prime is 100105500504899. The next prime is 100105500505093. The reversal of 100105500505091 is 190505005501001.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100105500505091 is a prime.

It is a super-2 number, since 2×100105500505091² (a number of 29 digits) contains 22 as substring.

Together with 100105500505093, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (100105500505093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50052750252545 + 50052750252546.

It is an arithmetic number, because the mean of its divisors is an integer number (50052750252546).

Almost surely, 2^{100105500505091} is an apocalyptic number.

100105500505091 is a deficient number, since it is larger than the sum of its proper divisors (1).

100105500505091 is an equidigital number, since it uses as much as digits as its factorization.

100105500505091 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5625, while the sum is 32.

The spelling of 100105500505091 in words is "one hundred trillion, one hundred five billion, five hundred million, five hundred five thousand, ninety-one".