10210010111129 has 2 divisors, whose sum is σ = 10210010111130. Its totient is φ = 10210010111128.

The previous prime is 10210010111117. The next prime is 10210010111131. The reversal of 10210010111129 is 92111101001201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10177044261904 + 32965849225 = 3190148^2 + 181565^2 .

It is an emirp because it is prime and its reverse (92111101001201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10210010111129 - 2⁸ = 10210010110873 is a prime.

Together with 10210010111131, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10210010111129.

It is not a weakly prime, because it can be changed into another prime (10210010111159) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5105005055564 + 5105005055565.

It is an arithmetic number, because the mean of its divisors is an integer number (5105005055565).

Almost surely, 2^{10210010111129} is an apocalyptic number.

It is an amenable number.

10210010111129 is a deficient number, since it is larger than the sum of its proper divisors (1).

10210010111129 is an equidigital number, since it uses as much as digits as its factorization.

10210010111129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 20.

The spelling of 10210010111129 in words is "ten trillion, two hundred ten billion, ten million, one hundred eleven thousand, one hundred twenty-nine".