10121321129 has 2 divisors, whose sum is σ = 10121321130. Its totient is φ = 10121321128.

The previous prime is 10121321053. The next prime is 10121321137. The reversal of 10121321129 is 92112312101.

10121321129 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 can be written as a sum of positive squares in only one way, i.e., 8417695504 + 1703625625 = 91748^2 + 41275^2 .

It is an emirp because it is prime and its reverse (92112312101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10121321129 - 2²⁰ = 10120272553 is a prime.

It is a super-2 number, since 2×10121321129² (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10121321159) 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, 5060660564 + 5060660565.

It is an arithmetic number, because the mean of its divisors is an integer number (5060660565).

Almost surely, 2^10121321129 is an apocalyptic number.

It is an amenable number.

10121321129 is a deficient number, since it is larger than the sum of its proper divisors (1).

10121321129 is an equidigital number, since it uses as much as digits as its factorization.

10121321129 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 23.

The spelling of 10121321129 in words is "ten billion, one hundred twenty-one million, three hundred twenty-one thousand, one hundred twenty-nine".