1001000010001 has 2 divisors, whose sum is σ = 1001000010002. Its totient is φ = 1001000010000.

The previous prime is 1001000009983. The next prime is 1001000010053. The reversal of 1001000010001 is 1000100001001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 999400090000 + 1599920001 = 999700^2 + 39999^2 .

It is a cyclic number.

It is not a de Polignac number, because 1001000010001 - 2⁷ = 1001000009873 is a prime.

It is not a weakly prime, because it can be changed into another prime (1001000010071) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500500005000 + 500500005001.

It is an arithmetic number, because the mean of its divisors is an integer number (500500005001).

Almost surely, 2^{1001000010001} is an apocalyptic number.

It is an amenable number.

1001000010001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001000010001 is an equidigital number, since it uses as much as digits as its factorization.

1001000010001 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 4.

Adding to 1001000010001 its reverse (1000100001001), we get a palindrome (2001100011002).

It can be divided in two parts, 100100001000 and 1, that added together give a palindrome (100100001001).

The spelling of 1001000010001 in words is "one trillion, one billion, ten thousand, one".