1001101011007 has 2 divisors, whose sum is σ = 1001101011008. Its totient is φ = 1001101011006.

The previous prime is 1001101010941. The next prime is 1001101011037. The reversal of 1001101011007 is 7001101011001.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 1001101011007 - 2⁷ = 1001101010879 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1001101011037) 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, 500550505503 + 500550505504.

It is an arithmetic number, because the mean of its divisors is an integer number (500550505504).

Almost surely, 2^{1001101011007} is an apocalyptic number.

1001101011007 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001101011007 is an equidigital number, since it uses as much as digits as its factorization.

1001101011007 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 13.

Adding to 1001101011007 its reverse (7001101011001), we get a palindrome (8002202022008).

The spelling of 1001101011007 in words is "one trillion, one billion, one hundred one million, eleven thousand, seven".