10121020127 has 2 divisors, whose sum is σ = 10121020128. Its totient is φ = 10121020126.

The previous prime is 10121020087. The next prime is 10121020139. The reversal of 10121020127 is 72102012101.

10121020127 is digitally balanced in base 2 and base 3, because in such bases 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 10121020127 - 2⁸ = 10121019871 is a prime.

It is a super-2 number, since 2×10121020127² (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 (10121020177) 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, 5060510063 + 5060510064.

It is an arithmetic number, because the mean of its divisors is an integer number (5060510064).

Almost surely, 2^10121020127 is an apocalyptic number.

10121020127 is a deficient number, since it is larger than the sum of its proper divisors (1).

10121020127 is an equidigital number, since it uses as much as digits as its factorization.

10121020127 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 56, while the sum is 17.

Adding to 10121020127 its reverse (72102012101), we get a palindrome (82223032228).

The spelling of 10121020127 in words is "ten billion, one hundred twenty-one million, twenty thousand, one hundred twenty-seven".