10500312996127 has 2 divisors, whose sum is σ = 10500312996128. Its totient is φ = 10500312996126.

The previous prime is 10500312996101. The next prime is 10500312996149. The reversal of 10500312996127 is 72169921300501.

It is a strong prime.

It is an emirp because it is prime and its reverse (72169921300501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10500312996127 - 2¹⁹ = 10500312471839 is a prime.

It is a super-2 number, since 2×10500312996127² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10500312996197) 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, 5250156498063 + 5250156498064.

It is an arithmetic number, because the mean of its divisors is an integer number (5250156498064).

Almost surely, 2^{10500312996127} is an apocalyptic number.

10500312996127 is a deficient number, since it is larger than the sum of its proper divisors (1).

10500312996127 is an equidigital number, since it uses as much as digits as its factorization.

10500312996127 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 204120, while the sum is 46.

The spelling of 10500312996127 in words is "ten trillion, five hundred billion, three hundred twelve million, nine hundred ninety-six thousand, one hundred twenty-seven".