10112111011 has 16 divisors (see below), whose sum is σ = 10760551200. Its totient is φ = 9475488000.

The previous prime is 10112110993. The next prime is 10112111027. The reversal of 10112111011 is 11011121101.

10112111011 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10112111011 - 2⁵ = 10112110979 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10112115011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2533005 + ... + 2536993.

It is an arithmetic number, because the mean of its divisors is an integer number (672534450).

Almost surely, 2^10112111011 is an apocalyptic number.

10112111011 is a deficient number, since it is larger than the sum of its proper divisors (648440189).

10112111011 is a wasteful number, since it uses less digits than its factorization.

10112111011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5430.

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 10112111011 its reverse (11011121101), we get a palindrome (21123232112).

The spelling of 10112111011 in words is "ten billion, one hundred twelve million, one hundred eleven thousand, eleven".