1001000001007 has 2 divisors, whose sum is σ = 1001000001008. Its totient is φ = 1001000001006.

The previous prime is 1001000000993. The next prime is 1001000001037. The reversal of 1001000001007 is 7001000001001.

It is a weak prime.

It is an emirp because it is prime and its reverse (7001000001001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1001000001007 - 2¹⁵ = 1000999968239 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1001000000984 and 1001000001002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1001000001037) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500500000503 + 500500000504.

It is an arithmetic number, because the mean of its divisors is an integer number (500500000504).

Almost surely, 2^{1001000001007} is an apocalyptic number.

1001000001007 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001000001007 is an equidigital number, since it uses as much as digits as its factorization.

1001000001007 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7, while the sum is 10.

Adding to 1001000001007 its reverse (7001000001001), we get a palindrome (8002000002008).

The spelling of 1001000001007 in words is "one trillion, one billion, one thousand, seven".