21111033011112 has 96 divisors (see below), whose sum is σ = 62386968739680. Its totient is φ = 6395902001280.

The previous prime is 21111033011111. The next prime is 21111033011161.

21111033011112 is a `hidden beast` number, since 211 + 1 + 1 + 0 + 330 + 11 + 112 = 666.

21111033011112 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (21111033011111) 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, 798303 + ... + 6546705.

It is an arithmetic number, because the mean of its divisors is an integer number (649864257705).

Almost surely, 2^{21111033011112} is an apocalyptic number.

21111033011112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21111033011112 is an abundant number, since it is smaller than the sum of its proper divisors (41275935728568).

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

21111033011112 is a wasteful number, since it uses less digits than its factorization.

21111033011112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5753063 (or 5753056 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

It can be divided in two parts, 2111103 and 3011112, that added together give a palindrome (5122215).

The spelling of 21111033011112 in words is "twenty-one trillion, one hundred eleven billion, thirty-three million, eleven thousand, one hundred twelve".