21220022100222 has 144 divisors (see below), whose sum is σ = 50663851954560. Its totient is φ = 6365853612000.

The previous prime is 21220022100217. The next prime is 21220022100241. The reversal of 21220022100222 is 22200122002212.

21220022100222 is a `hidden beast` number, since 2 + 1 + 220 + 0 + 221 + 0 + 0 + 222 = 666.

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 = 21220022100195 and 21220022100204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1373367597 + ... + 1373383047.

It is an arithmetic number, because the mean of its divisors is an integer number (351832305240).

Almost surely, 2^{21220022100222} is an apocalyptic number.

21220022100222 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 21220022100222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25331925977280).

21220022100222 is an abundant number, since it is smaller than the sum of its proper divisors (29443829854338).

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

21220022100222 is a wasteful number, since it uses less digits than its factorization.

21220022100222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16107 (or 15965 counting only the distinct ones).

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

Adding to 21220022100222 its reverse (22200122002212), we get a palindrome (43420144102434).

It can be divided in two parts, 2122002 and 2100222, that added together give a palindrome (4222224).

The spelling of 21220022100222 in words is "twenty-one trillion, two hundred twenty billion, twenty-two million, one hundred thousand, two hundred twenty-two".