10011112112 has 40 divisors (see below), whose sum is σ = 20571704160. Its totient is φ = 4709422080.

The previous prime is 10011112091. The next prime is 10011112117. The reversal of 10011112112 is 21121111001.

It is a junction number, because it is equal to n+sod(n) for n = 10011112093 and 10011112102.

It is not an unprimeable number, because it can be changed into a prime (10011112117) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 200537 + ... + 245432.

It is an arithmetic number, because the mean of its divisors is an integer number (514292604).

Almost surely, 2^10011112112 is an apocalyptic number.

It is an amenable number.

10011112112 is an abundant number, since it is smaller than the sum of its proper divisors (10560592048).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10011112112 is a wasteful number, since it uses less digits than its factorization.

10011112112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446061 (or 446055 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 10011112112 its reverse (21121111001), we get a palindrome (31132223113).

The spelling of 10011112112 in words is "ten billion, eleven million, one hundred twelve thousand, one hundred twelve".