100105011565127 has 2 divisors, whose sum is σ = 100105011565128. Its totient is φ = 100105011565126.

The previous prime is 100105011565093. The next prime is 100105011565211. The reversal of 100105011565127 is 721565110501001.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 100105011565127 - 2¹⁴ = 100105011548743 is a prime.

It is a super-2 number, since 2×100105011565127² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100105011555127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50052505782563 + 50052505782564.

It is an arithmetic number, because the mean of its divisors is an integer number (50052505782564).

Almost surely, 2^{100105011565127} is an apocalyptic number.

100105011565127 is a deficient number, since it is larger than the sum of its proper divisors (1).

100105011565127 is an equidigital number, since it uses as much as digits as its factorization.

100105011565127 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10500, while the sum is 35.

The spelling of 100105011565127 in words is "one hundred trillion, one hundred five billion, eleven million, five hundred sixty-five thousand, one hundred twenty-seven".