221211201110000 has 200 divisors, whose sum is σ = 539589807427440. Its totient is φ = 87821468928000.

The previous prime is 221211201109949. The next prime is 221211201110021. The reversal of 221211201110000 is 11102112122.

It is a tau number, because it is divible by the number of its divisors (200).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4994247854 + ... + 4994292146.

Almost surely, 2^{221211201110000} is an apocalyptic number.

221211201110000 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 221211201110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269794903713720).

221211201110000 is an abundant number, since it is smaller than the sum of its proper divisors (318378606317440).

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

221211201110000 is a wasteful number, since it uses less digits than its factorization.

221211201110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48053 (or 48032 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 221211201110000 its reverse (11102112122), we get a palindrome (221222303222122).

The spelling of 221211201110000 in words is "two hundred twenty-one trillion, two hundred eleven billion, two hundred one million, one hundred ten thousand".