221220020100020 has 48 divisors (see below), whose sum is σ = 465215669049600. Its totient is φ = 88363511671680.

The previous prime is 221220020100007. The next prime is 221220020100047. The reversal of 221220020100020 is 20001020022122.

It is a super-3 number, since 3×221220020100020³ (a number of 44 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 221220020099968 and 221220020100004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1734437450 + ... + 1734564990.

It is an arithmetic number, because the mean of its divisors is an integer number (9691993105200).

Almost surely, 2^{221220020100020} is an apocalyptic number.

221220020100020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221220020100020 is an abundant number, since it is smaller than the sum of its proper divisors (243995648949580).

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

221220020100020 is a wasteful number, since it uses less digits than its factorization.

221220020100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248888 (or 248886 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 221220020100020 its reverse (20001020022122), we get a palindrome (241221040122142).

The spelling of 221220020100020 in words is "two hundred twenty-one trillion, two hundred twenty billion, twenty million, one hundred thousand, twenty".