221102200011220 has 192 divisors, whose sum is σ = 525931336433664. Its totient is φ = 77351371200000.

The previous prime is 221102200011197. The next prime is 221102200011221. The reversal of 221102200011220 is 22110002201122.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 221102200011194 and 221102200011203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221102200011221) 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, 2111494665 + ... + 2111599375.

It is an arithmetic number, because the mean of its divisors is an integer number (2739225710592).

Almost surely, 2^{221102200011220} is an apocalyptic number.

221102200011220 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 221102200011220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262965668216832).

221102200011220 is an abundant number, since it is smaller than the sum of its proper divisors (304829136422444).

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

221102200011220 is a wasteful number, since it uses less digits than its factorization.

221102200011220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106574 (or 106572 counting only the distinct ones).

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

Adding to 221102200011220 its reverse (22110002201122), we get a palindrome (243212202212342).

The spelling of 221102200011220 in words is "two hundred twenty-one trillion, one hundred two billion, two hundred million, eleven thousand, two hundred twenty".