221001211202200 has 384 divisors, whose sum is σ = 608893828300800. Its totient is φ = 73541447424000.

The previous prime is 221001211202171. The next prime is 221001211202227. The reversal of 221001211202200 is 2202112100122.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1600472761 + ... + 1600610839.

It is an arithmetic number, because the mean of its divisors is an integer number (1585661011200).

Almost surely, 2^{221001211202200} is an apocalyptic number.

221001211202200 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 221001211202200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304446914150400).

221001211202200 is an abundant number, since it is smaller than the sum of its proper divisors (387892617098600).

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

221001211202200 is a wasteful number, since it uses less digits than its factorization.

221001211202200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138603 (or 138594 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 221001211202200 its reverse (2202112100122), we get a palindrome (223203323302322).

The spelling of 221001211202200 in words is "two hundred twenty-one trillion, one billion, two hundred eleven million, two hundred two thousand, two hundred".