102210200129 has 2 divisors, whose sum is σ = 102210200130. Its totient is φ = 102210200128.

The previous prime is 102210200119. The next prime is 102210200137. The reversal of 102210200129 is 921002012201.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 58250787904 + 43959412225 = 241352^2 + 209665^2 .

It is a cyclic number.

It is not a de Polignac number, because 102210200129 - 2⁸ = 102210199873 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 102210200129.

It is not a weakly prime, because it can be changed into another prime (102210200119) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51105100064 + 51105100065.

It is an arithmetic number, because the mean of its divisors is an integer number (51105100065).

Almost surely, 2^102210200129 is an apocalyptic number.

It is an amenable number.

102210200129 is a deficient number, since it is larger than the sum of its proper divisors (1).

102210200129 is an equidigital number, since it uses as much as digits as its factorization.

102210200129 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 20.

The spelling of 102210200129 in words is "one hundred two billion, two hundred ten million, two hundred thousand, one hundred twenty-nine".