102200129 has 2 divisors, whose sum is σ = 102200130. Its totient is φ = 102200128.

The previous prime is 102200117. The next prime is 102200191. The reversal of 102200129 is 921002201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 59598400 + 42601729 = 7720^2 + 6527^2 .

It is a cyclic number.

It is not a de Polignac number, because 102200129 - 2¹² = 102196033 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (102200029) 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, 51100064 + 51100065.

It is an arithmetic number, because the mean of its divisors is an integer number (51100065).

Almost surely, 2^102200129 is an apocalyptic number.

It is an amenable number.

102200129 is a deficient number, since it is larger than the sum of its proper divisors (1).

102200129 is an equidigital number, since it uses as much as digits as its factorization.

102200129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 17.

The square root of 102200129 is about 10109.4079450777. The cubic root of 102200129 is about 467.5382511335.

The spelling of 102200129 in words is "one hundred two million, two hundred thousand, one hundred twenty-nine".