101101100006129 has 2 divisors, whose sum is σ = 101101100006130. Its totient is φ = 101101100006128.

The previous prime is 101101100006089. The next prime is 101101100006167. The reversal of 101101100006129 is 921600001101101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 95160473730529 + 5940626275600 = 9755023^2 + 2437340^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101101100006129 is a prime.

It is not a weakly prime, because it can be changed into another prime (101101100006029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50550550003064 + 50550550003065.

It is an arithmetic number, because the mean of its divisors is an integer number (50550550003065).

Almost surely, 2^{101101100006129} is an apocalyptic number.

It is an amenable number.

101101100006129 is a deficient number, since it is larger than the sum of its proper divisors (1).

101101100006129 is an equidigital number, since it uses as much as digits as its factorization.

101101100006129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 23.

The spelling of 101101100006129 in words is "one hundred one trillion, one hundred one billion, one hundred million, six thousand, one hundred twenty-nine".