2001000010001 has 2 divisors, whose sum is σ = 2001000010002. Its totient is φ = 2001000010000.

The previous prime is 2001000009977. The next prime is 2001000010007. The reversal of 2001000010001 is 1000100001002.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1900954320001 + 100045690000 = 1378751^2 + 316300^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2001000010001 is a prime.

It is not a weakly prime, because it can be changed into another prime (2001000010007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1000500005000 + 1000500005001.

It is an arithmetic number, because the mean of its divisors is an integer number (1000500005001).

Almost surely, 2^{2001000010001} is an apocalyptic number.

It is an amenable number.

2001000010001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2001000010001 is an equidigital number, since it uses as much as digits as its factorization.

2001000010001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2, while the sum is 5.

Adding to 2001000010001 its reverse (1000100001002), we get a palindrome (3001100011003).

The spelling of 2001000010001 in words is "two trillion, one billion, ten thousand, one".