101001010000129 has 2 divisors, whose sum is σ = 101001010000130. Its totient is φ = 101001010000128.

The previous prime is 101001010000097. The next prime is 101001010000133. The reversal of 101001010000129 is 921000010100101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 71016098681025 + 29984911319104 = 8427105^2 + 5475848^2 .

It is a cyclic number.

It is not a de Polignac number, because 101001010000129 - 2⁵ = 101001010000097 is a prime.

It is not a weakly prime, because it can be changed into another prime (101001010000529) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50500505000064 + 50500505000065.

It is an arithmetic number, because the mean of its divisors is an integer number (50500505000065).

Almost surely, 2^{101001010000129} is an apocalyptic number.

It is an amenable number.

101001010000129 is a deficient number, since it is larger than the sum of its proper divisors (1).

101001010000129 is an equidigital number, since it uses as much as digits as its factorization.

101001010000129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18, while the sum is 16.

The spelling of 101001010000129 in words is "one hundred one trillion, one billion, ten million, one hundred twenty-nine", and thus it is an aban number.