221020112212200 has 1152 divisors, whose sum is σ = 881246096640000. Its totient is φ = 48596270284800.

The previous prime is 221020112212139. The next prime is 221020112212271. The reversal of 221020112212200 is 2212211020122.

It is a happy number.

221020112212200 is a `hidden beast` number, since 2 + 21 + 0 + 201 + 1 + 221 + 220 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 10545345321 + ... + 10545366279.

It is an arithmetic number, because the mean of its divisors is an integer number (764970570000).

Almost surely, 2^{221020112212200} is an apocalyptic number.

221020112212200 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 221020112212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440623048320000).

221020112212200 is an abundant number, since it is smaller than the sum of its proper divisors (660225984427800).

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

221020112212200 is a wasteful number, since it uses less digits than its factorization.

221020112212200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21315 (or 21303 counting only the distinct ones).

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

Adding to 221020112212200 its reverse (2212211020122), we get a palindrome (223232323232322).

The spelling of 221020112212200 in words is "two hundred twenty-one trillion, twenty billion, one hundred twelve million, two hundred twelve thousand, two hundred".