10001011111007 has 8 divisors (see below), whose sum is σ = 11429921104896. Its totient is φ = 8572149647352.

The previous prime is 10001011110967. The next prime is 10001011111019. The reversal of 10001011111007 is 70011111010001.

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 10001011111007 - 2¹⁶ = 10001011045471 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10001011110982 and 10001011111000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001011110007) 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, 11689883 + ... + 12516204.

It is an arithmetic number, because the mean of its divisors is an integer number (1428740138112).

Almost surely, 2^{10001011111007} is an apocalyptic number.

10001011111007 is a deficient number, since it is larger than the sum of its proper divisors (1428909993889).

10001011111007 is an equidigital number, since it uses as much as digits as its factorization.

10001011111007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24265117.

The product of its (nonzero) digits is 7, while the sum is 14.

Adding to 10001011111007 its reverse (70011111010001), we get a palindrome (80012122121008).

The spelling of 10001011111007 in words is "ten trillion, one billion, eleven million, one hundred eleven thousand, seven".