21112112112201 has 48 divisors (see below), whose sum is σ = 35020478201280. Its totient is φ = 12121100496000.

The previous prime is 21112112112187. The next prime is 21112112112241. The reversal of 21112112112201 is 10221121121112.

It is a happy number.

21112112112201 is a `hidden beast` number, since 21 + 1 + 1 + 211 + 211 + 220 + 1 = 666.

It is not a de Polignac number, because 21112112112201 - 2²⁵ = 21112078557769 is a prime.

It is a super-2 number, since 2×21112112112201² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21112112112241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33889791 + ... + 34507131.

It is an arithmetic number, because the mean of its divisors is an integer number (729593295860).

Almost surely, 2^{21112112112201} is an apocalyptic number.

It is an amenable number.

21112112112201 is a deficient number, since it is larger than the sum of its proper divisors (13908366089079).

21112112112201 is a wasteful number, since it uses less digits than its factorization.

21112112112201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 635558 (or 635555 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 21112112112201 its reverse (10221121121112), we get a palindrome (31333233233313).

The spelling of 21112112112201 in words is "twenty-one trillion, one hundred twelve billion, one hundred twelve million, one hundred twelve thousand, two hundred one".