10001000001007 has 2 divisors, whose sum is σ = 10001000001008. Its totient is φ = 10001000001006.

The previous prime is 10001000000963. The next prime is 10001000001059. The reversal of 10001000001007 is 70010000010001.

10001000001007 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 10001000001007 - 2¹¹ = 10000999998959 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10001000000984 and 10001000001002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10001000001407) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000500000503 + 5000500000504.

It is an arithmetic number, because the mean of its divisors is an integer number (5000500000504).

Almost surely, 2^{10001000001007} is an apocalyptic number.

10001000001007 is a deficient number, since it is larger than the sum of its proper divisors (1).

10001000001007 is an equidigital number, since it uses as much as digits as its factorization.

10001000001007 is an evil number, because the sum of its binary digits is even.

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

Adding to 10001000001007 its reverse (70010000010001), we get a palindrome (80011000011008).

The spelling of 10001000001007 in words is "ten trillion, one billion, one thousand, seven".