102202129 has 2 divisors, whose sum is σ = 102202130. Its totient is φ = 102202128.

The previous prime is 102202127. The next prime is 102202183. The reversal of 102202129 is 921202201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 51151104 + 51051025 = 7152^2 + 7145^2 .

It is a cyclic number.

It is not a de Polignac number, because 102202129 - 2¹ = 102202127 is a prime.

Together with 102202127, 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 (102202123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51101064 + 51101065.

It is an arithmetic number, because the mean of its divisors is an integer number (51101065).

Almost surely, 2^102202129 is an apocalyptic number.

It is an amenable number.

102202129 is a deficient number, since it is larger than the sum of its proper divisors (1).

102202129 is an equidigital number, since it uses as much as digits as its factorization.

102202129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 102202129 is about 10109.5068623549. The cubic root of 102202129 is about 467.5413009353.

The spelling of 102202129 in words is "one hundred two million, two hundred two thousand, one hundred twenty-nine".