10112129 has 2 divisors, whose sum is σ = 10112130. Its totient is φ = 10112128.

The previous prime is 10112101. The next prime is 10112131. The reversal of 10112129 is 92121101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6682225 + 3429904 = 2585^2 + 1852^2 .

It is a cyclic number.

It is not a de Polignac number, because 10112129 - 2²⁰ = 9063553 is a prime.

Together with 10112131, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (10112149) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5056064 + 5056065.

It is an arithmetic number, because the mean of its divisors is an integer number (5056065).

Almost surely, 2^10112129 is an apocalyptic number.

It is an amenable number.

10112129 is a deficient number, since it is larger than the sum of its proper divisors (1).

10112129 is an equidigital number, since it uses as much as digits as its factorization.

10112129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 17.

The square root of 10112129 is about 3179.9573896516. The cubic root of 10112129 is about 216.2457265798.

The spelling of 10112129 in words is "ten million, one hundred twelve thousand, one hundred twenty-nine".