1001010010001 has 2 divisors, whose sum is σ = 1001010010002. Its totient is φ = 1001010010000.

The previous prime is 1001010009997. The next prime is 1001010010003. The reversal of 1001010010001 is 1000100101001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 999648030976 + 1361979025 = 999824^2 + 36905^2 .

It is a cyclic number.

It is not a de Polignac number, because 1001010010001 - 2² = 1001010009997 is a prime.

Together with 1001010010003, 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 (1001010010003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500505005000 + 500505005001.

It is an arithmetic number, because the mean of its divisors is an integer number (500505005001).

Almost surely, 2^{1001010010001} is an apocalyptic number.

It is an amenable number.

1001010010001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001010010001 is an equidigital number, since it uses as much as digits as its factorization.

1001010010001 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 1001010010001 its reverse (1000100101001), we get a palindrome (2001110111002).

The spelling of 1001010010001 in words is "one trillion, one billion, ten million, ten thousand, one".