10001010010001 has 2 divisors, whose sum is σ = 10001010010002. Its totient is φ = 10001010010000.

The previous prime is 10001010009953. The next prime is 10001010010003. The reversal of 10001010010001 is 10001001010001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8572803364225 + 1428206645776 = 2927935^2 + 1195076^2 .

It is an emirp because it is prime and its reverse (10001001010001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10001010010001 - 2³⁰ = 9999936268177 is a prime.

Together with 10001010010003, 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 (10001010010003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000505005000 + 5000505005001.

It is an arithmetic number, because the mean of its divisors is an integer number (5000505005001).

Almost surely, 2^{10001010010001} is an apocalyptic number.

It is an amenable number.

10001010010001 is a deficient number, since it is larger than the sum of its proper divisors (1).

10001010010001 is an equidigital number, since it uses as much as digits as its factorization.

10001010010001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 10001010010001 its reverse (10001001010001), we get a palindrome (20002011020002).

Subtracting from 10001010010001 its reverse (10001001010001), we obtain a square (9000000 = 3000²).

The spelling of 10001010010001 in words is "ten trillion, one billion, ten million, ten thousand, one".