221220112010000 has 400 divisors, whose sum is σ = 566920902240000. Its totient is φ = 83365438464000.

The previous prime is 221220112009997. The next prime is 221220112010033. The reversal of 221220112010000 is 10211022122.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-3 number, since 3×221220112010000³ (a number of 44 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 43901587481 + ... + 43901592519.

It is an arithmetic number, because the mean of its divisors is an integer number (1417302255600).

Almost surely, 2^{221220112010000} is an apocalyptic number.

221220112010000 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 221220112010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283460451120000).

221220112010000 is an abundant number, since it is smaller than the sum of its proper divisors (345700790230000).

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

221220112010000 is a wasteful number, since it uses less digits than its factorization.

221220112010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6324 (or 6303 counting only the distinct ones).

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

Adding to 221220112010000 its reverse (10211022122), we get a palindrome (221230323032122).

The spelling of 221220112010000 in words is "two hundred twenty-one trillion, two hundred twenty billion, one hundred twelve million, ten thousand".