21102002222112 has 240 divisors, whose sum is σ = 70930420146432. Its totient is φ = 6028782566400.

The previous prime is 21102002222057. The next prime is 21102002222123. The reversal of 21102002222112 is 21122220020112.

It is a happy number.

21102002222112 is a `hidden beast` number, since 21 + 10 + 200 + 222 + 211 + 2 = 666.

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

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 504799612 + ... + 504841412.

Almost surely, 2^{21102002222112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21102002222112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35465210073216).

21102002222112 is an abundant number, since it is smaller than the sum of its proper divisors (49828417924320).

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

21102002222112 is a wasteful number, since it uses less digits than its factorization.

21102002222112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69653 (or 69636 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 21102002222112 its reverse (21122220020112), we get a palindrome (42224222242224).

The spelling of 21102002222112 in words is "twenty-one trillion, one hundred two billion, two million, two hundred twenty-two thousand, one hundred twelve".