10100200129 has 2 divisors, whose sum is σ = 10100200130. Its totient is φ = 10100200128.

The previous prime is 10100200093. The next prime is 10100200133. The reversal of 10100200129 is 92100200101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7832250000 + 2267950129 = 88500^2 + 47623^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100200129 - 2⁹ = 10100199617 is a prime.

It is not a weakly prime, because it can be changed into another prime (10100203129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050100064 + 5050100065.

It is an arithmetic number, because the mean of its divisors is an integer number (5050100065).

Almost surely, 2^10100200129 is an apocalyptic number.

It is an amenable number.

10100200129 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100200129 is an equidigital number, since it uses as much as digits as its factorization.

10100200129 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 16.

The spelling of 10100200129 in words is "ten billion, one hundred million, two hundred thousand, one hundred twenty-nine".