1010001001007 has 2 divisors, whose sum is σ = 1010001001008. Its totient is φ = 1010001001006.

The previous prime is 1010001000971. The next prime is 1010001001027. The reversal of 1010001001007 is 7001001000101.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 1010001001007 - 2²⁴ = 1009984223791 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1010001001027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505000500503 + 505000500504.

It is an arithmetic number, because the mean of its divisors is an integer number (505000500504).

Almost surely, 2^{1010001001007} is an apocalyptic number.

1010001001007 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010001001007 is an equidigital number, since it uses as much as digits as its factorization.

1010001001007 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 11.

Adding to 1010001001007 its reverse (7001001000101), we get a palindrome (8011002001108).

The spelling of 1010001001007 in words is "one trillion, ten billion, one million, one thousand, seven".