102110110129 has 2 divisors, whose sum is σ = 102110110130. Its totient is φ = 102110110128.

The previous prime is 102110110111. The next prime is 102110110133. The reversal of 102110110129 is 921011011201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 63326715904 + 38783394225 = 251648^2 + 196935^2 .

It is a cyclic number.

It is not a de Polignac number, because 102110110129 - 2²¹ = 102108012977 is a prime.

It is not a weakly prime, because it can be changed into another prime (102110110169) 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, 51055055064 + 51055055065.

It is an arithmetic number, because the mean of its divisors is an integer number (51055055065).

Almost surely, 2^102110110129 is an apocalyptic number.

It is an amenable number.

102110110129 is a deficient number, since it is larger than the sum of its proper divisors (1).

102110110129 is an equidigital number, since it uses as much as digits as its factorization.

102110110129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 19.

The spelling of 102110110129 in words is "one hundred two billion, one hundred ten million, one hundred ten thousand, one hundred twenty-nine".