21222122100003 has 144 divisors (see below), whose sum is σ = 35614841633280. Its totient is φ = 12134493360000.

The previous prime is 21222122099951. The next prime is 21222122100007. The reversal of 21222122100003 is 30000122122212.

It is not a de Polignac number, because 21222122100003 - 2²⁰ = 21222121051427 is a prime.

It is not an unprimeable number, because it can be changed into a prime (21222122100007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5734157053 + ... + 5734160753.

It is an arithmetic number, because the mean of its divisors is an integer number (247325289120).

Almost surely, 2^{21222122100003} is an apocalyptic number.

21222122100003 is a deficient number, since it is larger than the sum of its proper divisors (14392719533277).

21222122100003 is a wasteful number, since it uses less digits than its factorization.

21222122100003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4822 (or 4808 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 21222122100003 its reverse (30000122122212), we get a palindrome (51222244222215).

The spelling of 21222122100003 in words is "twenty-one trillion, two hundred twenty-two billion, one hundred twenty-two million, one hundred thousand, three".