221201110000 has 400 divisors, whose sum is σ = 617340987648. Its totient is φ = 76032000000.

The previous prime is 221201109991. The next prime is 221201110003. The reversal of 221201110000 is 11102122.

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

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221201110003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 223209505 + ... + 223210495.

Almost surely, 2^221201110000 is an apocalyptic number.

221201110000 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 221201110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308670493824).

221201110000 is an abundant number, since it is smaller than the sum of its proper divisors (396139877648).

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

221201110000 is a wasteful number, since it uses less digits than its factorization.

221201110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1150 (or 1129 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 221201110000 its reverse (11102122), we get a palindrome (221212212122).

The spelling of 221201110000 in words is "two hundred twenty-one billion, two hundred one million, one hundred ten thousand".