1010010332129 has 2 divisors, whose sum is σ = 1010010332130. Its totient is φ = 1010010332128.

The previous prime is 1010010332101. The next prime is 1010010332131. The reversal of 1010010332129 is 9212330100101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 946433231104 + 63577101025 = 972848^2 + 252145^2 .

It is a cyclic number.

It is not a de Polignac number, because 1010010332129 - 2²⁸ = 1009741896673 is a prime.

Together with 1010010332131, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (1010010332179) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505005166064 + 505005166065.

It is an arithmetic number, because the mean of its divisors is an integer number (505005166065).

Almost surely, 2^{1010010332129} is an apocalyptic number.

It is an amenable number.

1010010332129 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010010332129 is an equidigital number, since it uses as much as digits as its factorization.

1010010332129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 324, while the sum is 23.

The spelling of 1010010332129 in words is "one trillion, ten billion, ten million, three hundred thirty-two thousand, one hundred twenty-nine".