221122220011100 has 216 divisors, whose sum is σ = 511635825836352. Its totient is φ = 82914921689600.

The previous prime is 221122220011097. The next prime is 221122220011111. The reversal of 221122220011100 is 1110022221122.

It is a zygodrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2554127414 + ... + 2554213986.

It is an arithmetic number, because the mean of its divisors is an integer number (2368684378872).

Almost surely, 2^{221122220011100} is an apocalyptic number.

221122220011100 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 221122220011100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255817912918176).

221122220011100 is an abundant number, since it is smaller than the sum of its proper divisors (290513605825252).

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

221122220011100 is a wasteful number, since it uses less digits than its factorization.

221122220011100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87597 (or 87567 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 221122220011100 its reverse (1110022221122), we get a palindrome (222232242232222).

The spelling of 221122220011100 in words is "two hundred twenty-one trillion, one hundred twenty-two billion, two hundred twenty million, eleven thousand, one hundred".