10102200002129 has 2 divisors, whose sum is σ = 10102200002130. Its totient is φ = 10102200002128.

The previous prime is 10102200002101. The next prime is 10102200002131. The reversal of 10102200002129 is 92120000220101.

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., 8211244987729 + 1890955014400 = 2865527^2 + 1375120^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10102200002129 is a prime.

Together with 10102200002131, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10102200002129.

It is not a weakly prime, because it can be changed into another prime (10102200002179) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5051100001064 + 5051100001065.

It is an arithmetic number, because the mean of its divisors is an integer number (5051100001065).

Almost surely, 2^{10102200002129} is an apocalyptic number.

It is an amenable number.

10102200002129 is a deficient number, since it is larger than the sum of its proper divisors (1).

10102200002129 is an equidigital number, since it uses as much as digits as its factorization.

10102200002129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 20.

The spelling of 10102200002129 in words is "ten trillion, one hundred two billion, two hundred million, two thousand, one hundred twenty-nine".