102200000000129 has 2 divisors, whose sum is σ = 102200000000130. Its totient is φ = 102200000000128.

The previous prime is 102200000000099. The next prime is 102200000000159. The reversal of 102200000000129 is 921000000002201.

It is a balanced prime because it is at equal distance from previous prime (102200000000099) and next prime (102200000000159).

It can be written as a sum of positive squares in only one way, i.e., 101146225893904 + 1053774106225 = 10057148^2 + 1026535^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102200000000129 is a prime.

It is not a weakly prime, because it can be changed into another prime (102200000000159) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51100000000064 + 51100000000065.

It is an arithmetic number, because the mean of its divisors is an integer number (51100000000065).

Almost surely, 2^{102200000000129} is an apocalyptic number.

It is an amenable number.

102200000000129 is a deficient number, since it is larger than the sum of its proper divisors (1).

102200000000129 is an equidigital number, since it uses as much as digits as its factorization.

102200000000129 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 17.

The spelling of 102200000000129 in words is "one hundred two trillion, two hundred billion, one hundred twenty-nine", and thus it is an aban number.