10011011100007 has 24 divisors (see below), whose sum is σ = 10637026224000. Its totient is φ = 9420215429520.

The previous prime is 10011011100001. The next prime is 10011011100067. The reversal of 10011011100007 is 70000111011001.

It is not a de Polignac number, because 10011011100007 - 2¹¹ = 10011011097959 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10011011100007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10011011100001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37877638 + ... + 38141020.

It is an arithmetic number, because the mean of its divisors is an integer number (443209426000).

Almost surely, 2^{10011011100007} is an apocalyptic number.

10011011100007 is a deficient number, since it is larger than the sum of its proper divisors (626015123993).

10011011100007 is a wasteful number, since it uses less digits than its factorization.

10011011100007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264131 (or 264112 counting only the distinct ones).

The product of its (nonzero) digits is 7, while the sum is 13.

Adding to 10011011100007 its reverse (70000111011001), we get a palindrome (80011122111008).

The spelling of 10011011100007 in words is "ten trillion, eleven billion, eleven million, one hundred thousand, seven".