221102210012220 has 288 divisors, whose sum is σ = 719119131651648. Its totient is φ = 54790546784256.

The previous prime is 221102210012149. The next prime is 221102210012221. The reversal of 221102210012220 is 22210012201122.

It is a happy number.

221102210012220 is a `hidden beast` number, since 2 + 211 + 0 + 221 + 0 + 0 + 12 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 221102210012193 and 221102210012202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221102210012221) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 420582172 + ... + 421107548.

It is an arithmetic number, because the mean of its divisors is an integer number (2496941429346).

Almost surely, 2^{221102210012220} is an apocalyptic number.

221102210012220 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 221102210012220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359559565825824).

221102210012220 is an abundant number, since it is smaller than the sum of its proper divisors (498016921639428).

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

221102210012220 is a wasteful number, since it uses less digits than its factorization.

221102210012220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527149 (or 527144 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 221102210012220 its reverse (22210012201122), we get a palindrome (243312222213342).

The spelling of 221102210012220 in words is "two hundred twenty-one trillion, one hundred two billion, two hundred ten million, twelve thousand, two hundred twenty".