10110001000129 has 2 divisors, whose sum is σ = 10110001000130. Its totient is φ = 10110001000128.

The previous prime is 10110001000091. The next prime is 10110001000139. The reversal of 10110001000129 is 92100010001101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6239889092529 + 3870111907600 = 2497977^2 + 1967260^2 .

It is an emirp because it is prime and its reverse (92100010001101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10110001000129 - 2¹¹ = 10110000998081 is a prime.

It is not a weakly prime, because it can be changed into another prime (10110001000139) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5055000500064 + 5055000500065.

It is an arithmetic number, because the mean of its divisors is an integer number (5055000500065).

Almost surely, 2^{10110001000129} is an apocalyptic number.

It is an amenable number.

10110001000129 is a deficient number, since it is larger than the sum of its proper divisors (1).

10110001000129 is an equidigital number, since it uses as much as digits as its factorization.

10110001000129 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 10110001000129 in words is "ten trillion, one hundred ten billion, one million, one hundred twenty-nine", and thus it is an aban number.