221220220010020 has 768 divisors, whose sum is σ = 605984777846784. Its totient is φ = 65868042240000.

The previous prime is 221220220010017. The next prime is 221220220010021. The reversal of 221220220010020 is 20010022022122.

It is a junction number, because it is equal to n+sod(n) for n = 221220220009976 and 221220220010003.

It is not an unprimeable number, because it can be changed into a prime (221220220010021) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 110444442339 + ... + 110444444341.

It is an arithmetic number, because the mean of its divisors is an integer number (789042679488).

Almost surely, 2^{221220220010020} is an apocalyptic number.

221220220010020 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 221220220010020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302992388923392).

221220220010020 is an abundant number, since it is smaller than the sum of its proper divisors (384764557836764).

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

221220220010020 is a wasteful number, since it uses less digits than its factorization.

221220220010020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2412 (or 2410 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 221220220010020 its reverse (20010022022122), we get a palindrome (241230242032142).

It can be divided in two parts, 2212202 and 20010020, that added together give a palindrome (22222222).

The spelling of 221220220010020 in words is "two hundred twenty-one trillion, two hundred twenty billion, two hundred twenty million, ten thousand, twenty".