221101221121200 has 4320 divisors, whose sum is σ = 1042586960163840. Its totient is φ = 44583727104000.

The previous prime is 221101221121199. The next prime is 221101221121223. The reversal of 221101221121200 is 2121122101122.

221101221121200 is a `hidden beast` number, since 2 + 21 + 101 + 221 + 121 + 200 = 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 (23) of ones.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 155376823689 + ... + 155376825111.

It is an arithmetic number, because the mean of its divisors is an integer number (241339574112).

Almost surely, 2^{221101221121200} is an apocalyptic number.

221101221121200 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 221101221121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521293480081920).

221101221121200 is an abundant number, since it is smaller than the sum of its proper divisors (821485739042640).

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

221101221121200 is a wasteful number, since it uses less digits than its factorization.

221101221121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1607 (or 1577 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 221101221121200 its reverse (2121122101122), we get a palindrome (223222343222322).

The spelling of 221101221121200 in words is "two hundred twenty-one trillion, one hundred one billion, two hundred twenty-one million, one hundred twenty-one thousand, two hundred".