221100212120020 has 192 divisors, whose sum is σ = 482951720401920. Its totient is φ = 84971827519488.

The previous prime is 221100212120003. The next prime is 221100212120059. The reversal of 221100212120020 is 20021212001122.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 221100212119976 and 221100212120003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6788654296 + ... + 6788686864.

It is an arithmetic number, because the mean of its divisors is an integer number (2515373543760).

Almost surely, 2^{221100212120020} is an apocalyptic number.

221100212120020 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 221100212120020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241475860200960).

221100212120020 is an abundant number, since it is smaller than the sum of its proper divisors (261851508281900).

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

221100212120020 is a wasteful number, since it uses less digits than its factorization.

221100212120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33282 (or 33280 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 221100212120020 its reverse (20021212001122), we get a palindrome (241121424121142).

The spelling of 221100212120020 in words is "two hundred twenty-one trillion, one hundred billion, two hundred twelve million, one hundred twenty thousand, twenty".