10200212129 has 2 divisors, whose sum is σ = 10200212130. Its totient is φ = 10200212128.

The previous prime is 10200212039. The next prime is 10200212153. The reversal of 10200212129 is 92121200201.

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., 7596865600 + 2603346529 = 87160^2 + 51023^2 .

It is a cyclic number.

It is not a de Polignac number, because 10200212129 - 2¹² = 10200208033 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10200212129.

It is not a weakly prime, because it can be changed into another prime (10200212159) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5100106064 + 5100106065.

It is an arithmetic number, because the mean of its divisors is an integer number (5100106065).

Almost surely, 2^10200212129 is an apocalyptic number.

It is an amenable number.

10200212129 is a deficient number, since it is larger than the sum of its proper divisors (1).

10200212129 is an equidigital number, since it uses as much as digits as its factorization.

10200212129 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 10200212129 in words is "ten billion, two hundred million, two hundred twelve thousand, one hundred twenty-nine".