10012211071001 has 2 divisors, whose sum is σ = 10012211071002. Its totient is φ = 10012211071000.

The previous prime is 10012211070989. The next prime is 10012211071003. The reversal of 10012211071001 is 10017011221001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9625034675776 + 387176395225 = 3102424^2 + 622235^2 .

It is a cyclic number.

It is not a de Polignac number, because 10012211071001 - 2¹⁰ = 10012211069977 is a prime.

It is a Sophie Germain prime.

Together with 10012211071003, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (10012211071003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5006105535500 + 5006105535501.

It is an arithmetic number, because the mean of its divisors is an integer number (5006105535501).

Almost surely, 2^{10012211071001} is an apocalyptic number.

It is an amenable number.

10012211071001 is a deficient number, since it is larger than the sum of its proper divisors (1).

10012211071001 is an equidigital number, since it uses as much as digits as its factorization.

10012211071001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 28, while the sum is 17.

Adding to 10012211071001 its reverse (10017011221001), we get a palindrome (20029222292002).

The spelling of 10012211071001 in words is "ten trillion, twelve billion, two hundred eleven million, seventy-one thousand, one".