101101100000129 has 2 divisors, whose sum is σ = 101101100000130. Its totient is φ = 101101100000128.

The previous prime is 101101100000093. The next prime is 101101100000267. The reversal of 101101100000129 is 921000001101101.

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., 81690378822529 + 19410721177600 = 9038273^2 + 4405760^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101101100000129 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (101101100006129) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50550550000064 + 50550550000065.

It is an arithmetic number, because the mean of its divisors is an integer number (50550550000065).

Almost surely, 2^{101101100000129} is an apocalyptic number.

It is an amenable number.

101101100000129 is a deficient number, since it is larger than the sum of its proper divisors (1).

101101100000129 is an equidigital number, since it uses as much as digits as its factorization.

101101100000129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 17.

The spelling of 101101100000129 in words is "one hundred one trillion, one hundred one billion, one hundred million, one hundred twenty-nine", and thus it is an aban number.