10012111202129 has 2 divisors, whose sum is σ = 10012111202130. Its totient is φ = 10012111202128.

The previous prime is 10012111202083. The next prime is 10012111202189. The reversal of 10012111202129 is 92120211121001.

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., 9527395875904 + 484715326225 = 3086648^2 + 696215^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10012111202129 is a prime.

It is not a weakly prime, because it can be changed into another prime (10012111202189) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5006055601064 + 5006055601065.

It is an arithmetic number, because the mean of its divisors is an integer number (5006055601065).

Almost surely, 2^{10012111202129} is an apocalyptic number.

It is an amenable number.

10012111202129 is a deficient number, since it is larger than the sum of its proper divisors (1).

10012111202129 is an equidigital number, since it uses as much as digits as its factorization.

10012111202129 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 23.

The spelling of 10012111202129 in words is "ten trillion, twelve billion, one hundred eleven million, two hundred two thousand, one hundred twenty-nine".