10101000127 has 2 divisors, whose sum is σ = 10101000128. Its totient is φ = 10101000126.

The previous prime is 10101000059. The next prime is 10101000139. The reversal of 10101000127 is 72100010101.

10101000127 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 10101000127 - 2¹¹ = 10100998079 is a prime.

It is a super-2 number, since 2×10101000127² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10101100127) 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, 5050500063 + 5050500064.

It is an arithmetic number, because the mean of its divisors is an integer number (5050500064).

Almost surely, 2^10101000127 is an apocalyptic number.

10101000127 is a deficient number, since it is larger than the sum of its proper divisors (1).

10101000127 is an equidigital number, since it uses as much as digits as its factorization.

10101000127 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14, while the sum is 13.

Adding to 10101000127 its reverse (72100010101), we get a palindrome (82201010228).

The spelling of 10101000127 in words is "ten billion, one hundred one million, one hundred twenty-seven", and thus it is an aban number.