10110002002129 has 2 divisors, whose sum is σ = 10110002002130. Its totient is φ = 10110002002128.

The previous prime is 10110002002081. The next prime is 10110002002181. The reversal of 10110002002129 is 92120020001101.

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., 8253669326400 + 1856332675729 = 2872920^2 + 1362473^2 .

It is a cyclic number.

It is not a de Polignac number, because 10110002002129 - 2¹¹ = 10110002000081 is a prime.

It is not a weakly prime, because it can be changed into another prime (10110002002729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5055001001064 + 5055001001065.

It is an arithmetic number, because the mean of its divisors is an integer number (5055001001065).

Almost surely, 2^{10110002002129} is an apocalyptic number.

It is an amenable number.

10110002002129 is a deficient number, since it is larger than the sum of its proper divisors (1).

10110002002129 is an equidigital number, since it uses as much as digits as its factorization.

10110002002129 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 10110002002129 in words is "ten trillion, one hundred ten billion, two million, two thousand, one hundred twenty-nine".