22221222100020 has 144 divisors (see below), whose sum is σ = 68826469355280. Its totient is φ = 5801824862208.

The previous prime is 22221222099983. The next prime is 22221222100031. The reversal of 22221222100020 is 2000122212222.

22221222100020 is a `hidden beast` number, since 222 + 212 + 2 + 210 + 0 + 0 + 20 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 63452602404 + 22157769497616 = 251898^2 + 4707204^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 22221222099966 and 22221222100002.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 4371765 + ... + 7972124.

It is an arithmetic number, because the mean of its divisors is an integer number (477961592745).

Almost surely, 2^{22221222100020} is an apocalyptic number.

22221222100020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22221222100020 is an abundant number, since it is smaller than the sum of its proper divisors (46605247255260).

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

22221222100020 is a wasteful number, since it uses less digits than its factorization.

22221222100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12344114 (or 12344109 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 22221222100020 its reverse (2000122212222), we get a palindrome (24221344312242).

The spelling of 22221222100020 in words is "twenty-two trillion, two hundred twenty-one billion, two hundred twenty-two million, one hundred thousand, twenty".