21112211112011 has 8 divisors (see below), whose sum is σ = 21510692591184. Its totient is φ = 20713734739360.

The previous prime is 21112211111987. The next prime is 21112211112077. The reversal of 21112211112011 is 11021111221112.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 21112211112011 - 2²⁶ = 21112144003147 is a prime.

It is a super-3 number, since 3×21112211112011³ (a number of 41 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21112211112211) 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, 7654205 + ... + 10040481.

It is an arithmetic number, because the mean of its divisors is an integer number (2688836573898).

Almost surely, 2^{21112211112011} is an apocalyptic number.

21112211112011 is a deficient number, since it is larger than the sum of its proper divisors (398481479173).

21112211112011 is a wasteful number, since it uses less digits than its factorization.

21112211112011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2553261.

The product of its (nonzero) digits is 16, while the sum is 17.

Adding to 21112211112011 its reverse (11021111221112), we get a palindrome (32133322333123).

The spelling of 21112211112011 in words is "twenty-one trillion, one hundred twelve billion, two hundred eleven million, one hundred twelve thousand, eleven".