221220101213120 has 56 divisors (see below), whose sum is σ = 526786928733408. Its totient is φ = 88486938086400.

The previous prime is 221220101213119. The next prime is 221220101213131. The reversal of 221220101213120 is 21312101022122.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 221220101213092 and 221220101213101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21664190 + ... + 30195650.

It is an arithmetic number, because the mean of its divisors is an integer number (9406909441668).

Almost surely, 2^{221220101213120} is an apocalyptic number.

221220101213120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221220101213120 is an abundant number, since it is smaller than the sum of its proper divisors (305566827520288).

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

221220101213120 is an equidigital number, since it uses as much as digits as its factorization.

221220101213120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8612509 (or 8612499 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 221220101213120 its reverse (21312101022122), we get a palindrome (242532202235242).

The spelling of 221220101213120 in words is "two hundred twenty-one trillion, two hundred twenty billion, one hundred one million, two hundred thirteen thousand, one hundred twenty".