214102129 has 2 divisors, whose sum is σ = 214102130. Its totient is φ = 214102128.

The previous prime is 214102111. The next prime is 214102177. The reversal of 214102129 is 921201412.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 158256400 + 55845729 = 12580^2 + 7473^2 .

It is a cyclic number.

It is not a de Polignac number, because 214102129 - 2⁷ = 214102001 is a prime.

It is equal to p_11815330 and since 214102129 and 11815330 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (214102529) 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, 107051064 + 107051065.

It is an arithmetic number, because the mean of its divisors is an integer number (107051065).

Almost surely, 2^214102129 is an apocalyptic number.

It is an amenable number.

214102129 is a deficient number, since it is larger than the sum of its proper divisors (1).

214102129 is an equidigital number, since it uses as much as digits as its factorization.

214102129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 214102129 is about 14632.2291193106. The cubic root of 214102129 is about 598.2375399974.

The spelling of 214102129 in words is "two hundred fourteen million, one hundred two thousand, one hundred twenty-nine".