10132112129 has 2 divisors, whose sum is σ = 10132112130. Its totient is φ = 10132112128.

The previous prime is 10132112087. The next prime is 10132112141. The reversal of 10132112129 is 92121123101.

10132112129 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 can be written as a sum of positive squares in only one way, i.e., 6577210000 + 3554902129 = 81100^2 + 59623^2 .

It is a cyclic number.

It is not a de Polignac number, because 10132112129 - 2¹² = 10132108033 is a prime.

It is not a weakly prime, because it can be changed into another prime (10132112189) 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, 5066056064 + 5066056065.

It is an arithmetic number, because the mean of its divisors is an integer number (5066056065).

Almost surely, 2^10132112129 is an apocalyptic number.

It is an amenable number.

10132112129 is a deficient number, since it is larger than the sum of its proper divisors (1).

10132112129 is an equidigital number, since it uses as much as digits as its factorization.

10132112129 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 10132112129 in words is "ten billion, one hundred thirty-two million, one hundred twelve thousand, one hundred twenty-nine".