1010102020129 has 2 divisors, whose sum is σ = 1010102020130. Its totient is φ = 1010102020128.

The previous prime is 1010102020097. The next prime is 1010102020133. The reversal of 1010102020129 is 9210202010101.

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., 906974331904 + 103127688225 = 952352^2 + 321135^2 .

It is a cyclic number.

It is not a de Polignac number, because 1010102020129 - 2⁵ = 1010102020097 is a prime.

It is not a weakly prime, because it can be changed into another prime (1010102020139) 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, 505051010064 + 505051010065.

It is an arithmetic number, because the mean of its divisors is an integer number (505051010065).

Almost surely, 2^{1010102020129} is an apocalyptic number.

It is an amenable number.

1010102020129 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010102020129 is an equidigital number, since it uses as much as digits as its factorization.

1010102020129 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 1010102020129 in words is "one trillion, ten billion, one hundred two million, twenty thousand, one hundred twenty-nine".