10101000010001 has 2 divisors, whose sum is σ = 10101000010002. Its totient is φ = 10101000010000.

The previous prime is 10101000009979. The next prime is 10101000010007. The reversal of 10101000010001 is 10001000010101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10100472159376 + 527850625 = 3178124^2 + 22975^2 .

It is a cyclic number.

It is not a de Polignac number, because 10101000010001 - 2⁴² = 5702953498897 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (10101000010007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050500005000 + 5050500005001.

It is an arithmetic number, because the mean of its divisors is an integer number (5050500005001).

Almost surely, 2^{10101000010001} is an apocalyptic number.

It is an amenable number.

10101000010001 is a deficient number, since it is larger than the sum of its proper divisors (1).

10101000010001 is an equidigital number, since it uses as much as digits as its factorization.

10101000010001 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 10101000010001 its reverse (10001000010101), we get a palindrome (20102000020102).

The spelling of 10101000010001 in words is "ten trillion, one hundred one billion, ten thousand, one".