221022220104 has 320 divisors, whose sum is σ = 723674476800. Its totient is φ = 61715437056.

The previous prime is 221022220103. The next prime is 221022220109. The reversal of 221022220104 is 401022220122.

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

It is not an unprimeable number, because it can be changed into a prime (221022220103) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 66591357 + ... + 66594675.

It is an arithmetic number, because the mean of its divisors is an integer number (2261482740).

Almost surely, 2^221022220104 is an apocalyptic number.

221022220104 is a gapful number since it is divisible by the number (24) 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 221022220104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361837238400).

221022220104 is an abundant number, since it is smaller than the sum of its proper divisors (502652256696).

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

221022220104 is a wasteful number, since it uses less digits than its factorization.

221022220104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3674 (or 3661 counting only the distinct ones).

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

Adding to 221022220104 its sum of digits (18), we get a palindrome (221022220122).

Adding to 221022220104 its reverse (401022220122), we get a palindrome (622044440226).

The spelling of 221022220104 in words is "two hundred twenty-one billion, twenty-two million, two hundred twenty thousand, one hundred four".