10102102000129 has 2 divisors, whose sum is σ = 10102102000130. Its totient is φ = 10102102000128.

The previous prime is 10102102000103. The next prime is 10102102000213. The reversal of 10102102000129 is 92100020120101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5954688289729 + 4147413710400 = 2440223^2 + 2036520^2 .

It is a cyclic number.

It is not a de Polignac number, because 10102102000129 - 2⁴¹ = 7903078744577 is a prime.

It is not a weakly prime, because it can be changed into another prime (10102102000229) 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, 5051051000064 + 5051051000065.

It is an arithmetic number, because the mean of its divisors is an integer number (5051051000065).

Almost surely, 2^{10102102000129} is an apocalyptic number.

It is an amenable number.

10102102000129 is a deficient number, since it is larger than the sum of its proper divisors (1).

10102102000129 is an equidigital number, since it uses as much as digits as its factorization.

10102102000129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 19.

The spelling of 10102102000129 in words is "ten trillion, one hundred two billion, one hundred two million, one hundred twenty-nine", and thus it is an aban number.