221101220100020 has 192 divisors, whose sum is σ = 510434137866240. Its totient is φ = 79949565123072.

The previous prime is 221101220099999. The next prime is 221101220100029. The reversal of 221101220100020 is 20001022101122.

It is a junction number, because it is equal to n+sod(n) for n = 221101220099968 and 221101220100004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221101220100029) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5070293057 + ... + 5070336663.

It is an arithmetic number, because the mean of its divisors is an integer number (2658511134720).

Almost surely, 2^{221101220100020} is an apocalyptic number.

221101220100020 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 221101220100020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255217068933120).

221101220100020 is an abundant number, since it is smaller than the sum of its proper divisors (289332917766220).

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

221101220100020 is a wasteful number, since it uses less digits than its factorization.

221101220100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44934 (or 44932 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 221101220100020 its reverse (20001022101122), we get a palindrome (241102242201142).

The spelling of 221101220100020 in words is "two hundred twenty-one trillion, one hundred one billion, two hundred twenty million, one hundred thousand, twenty".