11001112012111 has 16 divisors (see below), whose sum is σ = 12064727001600. Its totient is φ = 9969024197088.

The previous prime is 11001112012073. The next prime is 11001112012133. The reversal of 11001112012111 is 11121021110011.

11001112012111 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 11001112012111 - 2²⁵ = 11001078457679 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 11001112012091 and 11001112012100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11001112012711) 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, 9306931 + ... + 10422148.

It is an arithmetic number, because the mean of its divisors is an integer number (754045437600).

Almost surely, 2^{11001112012111} is an apocalyptic number.

11001112012111 is a deficient number, since it is larger than the sum of its proper divisors (1063614989489).

11001112012111 is a wasteful number, since it uses less digits than its factorization.

11001112012111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19729878.

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 11001112012111 its reverse (11121021110011), we get a palindrome (22122133122122).

The spelling of 11001112012111 in words is "eleven trillion, one billion, one hundred twelve million, twelve thousand, one hundred eleven".