221001221122200 has 576 divisors, whose sum is σ = 752076674949600. Its totient is φ = 58153402368000.

The previous prime is 221001221122169. The next prime is 221001221122207. The reversal of 221001221122200 is 2221122100122.

It is a happy number.

221001221122200 is a `hidden beast` number, since 2 + 210 + 0 + 1 + 221 + 12 + 220 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221001221122207) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 82065064054 + ... + 82065066746.

Almost surely, 2^{221001221122200} is an apocalyptic number.

221001221122200 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 221001221122200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376038337474800).

221001221122200 is an abundant number, since it is smaller than the sum of its proper divisors (531075453827400).

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

221001221122200 is a wasteful number, since it uses less digits than its factorization.

221001221122200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4172 (or 4160 counting only the distinct ones).

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

Adding to 221001221122200 its reverse (2221122100122), we get a palindrome (223222343222322).

The spelling of 221001221122200 in words is "two hundred twenty-one trillion, one billion, two hundred twenty-one million, one hundred twenty-two thousand, two hundred".