10121123063 has 2 divisors, whose sum is σ = 10121123064. Its totient is φ = 10121123062.

The previous prime is 10121123057. The next prime is 10121123083. The reversal of 10121123063 is 36032112101.

10121123063 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an a-pointer prime, because the next prime (10121123083) can be obtained adding 10121123063 to its sum of digits (20).

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 10121123063 - 2²⁴ = 10104345847 is a prime.

It is a Sophie Germain prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10121123083) 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, 5060561531 + 5060561532.

It is an arithmetic number, because the mean of its divisors is an integer number (5060561532).

Almost surely, 2^10121123063 is an apocalyptic number.

10121123063 is a deficient number, since it is larger than the sum of its proper divisors (1).

10121123063 is an equidigital number, since it uses as much as digits as its factorization.

10121123063 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 10121123063 its reverse (36032112101), we get a palindrome (46153235164).

The spelling of 10121123063 in words is "ten billion, one hundred twenty-one million, one hundred twenty-three thousand, sixty-three".