10011112011011 has 16 divisors (see below), whose sum is σ = 10250641480320. Its totient is φ = 9772692787200.

The previous prime is 10011112010993. The next prime is 10011112011031. The reversal of 10011112011011 is 11011021111001.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10011112011011 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10011112010983 and 10011112011001.

It is not an unprimeable number, because it can be changed into a prime (10011112011031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 249080705 + ... + 249120893.

It is an arithmetic number, because the mean of its divisors is an integer number (640665092520).

Almost surely, 2^{10011112011011} is an apocalyptic number.

10011112011011 is a deficient number, since it is larger than the sum of its proper divisors (239529469309).

10011112011011 is a wasteful number, since it uses less digits than its factorization.

10011112011011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53854.

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 10011112011011 its reverse (11011021111001), we get a palindrome (21022133122012).

The spelling of 10011112011011 in words is "ten trillion, eleven billion, one hundred twelve million, eleven thousand, eleven".