21102222120 has 256 divisors, whose sum is σ = 73532067840. Its totient is φ = 4745115648.

The previous prime is 21102222109. The next prime is 21102222191. The reversal of 21102222120 is 2122220112.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 21102222120.

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 63 ways as a sum of consecutive naturals, for example, 21821877 + ... + 21822843.

It is an arithmetic number, because the mean of its divisors is an integer number (287234640).

Almost surely, 2^21102222120 is an apocalyptic number.

21102222120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21102222120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36766033920).

21102222120 is an abundant number, since it is smaller than the sum of its proper divisors (52429845720).

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

21102222120 is a wasteful number, since it uses less digits than its factorization.

21102222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1384 (or 1380 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 21102222120 its reverse (2122220112), we get a palindrome (23224442232).

The spelling of 21102222120 in words is "twenty-one billion, one hundred two million, two hundred twenty-two thousand, one hundred twenty".