1001011010007 has 8 divisors (see below), whose sum is σ = 1334713952880. Its totient is φ = 667324370240.

The previous prime is 1001011009993. The next prime is 1001011010063. The reversal of 1001011010007 is 7000101101001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1001011010007 - 2⁸ = 1001011009751 is a prime.

It is a super-3 number, since 3×1001011010007³ (a number of 37 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1001011009974 and 1001011010001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001011010107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3931782 + ... + 4178627.

It is an arithmetic number, because the mean of its divisors is an integer number (166839244110).

Almost surely, 2^{1001011010007} is an apocalyptic number.

1001011010007 is a deficient number, since it is larger than the sum of its proper divisors (333702942873).

1001011010007 is an equidigital number, since it uses as much as digits as its factorization.

1001011010007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8151553.

The product of its (nonzero) digits is 7, while the sum is 12.

Adding to 1001011010007 its reverse (7000101101001), we get a palindrome (8001112111008).

The spelling of 1001011010007 in words is "one trillion, one billion, eleven million, ten thousand, seven".