221221221102000 has 720 divisors, whose sum is σ = 951669856230912. Its totient is φ = 47590444339200.

The previous prime is 221221221101843. The next prime is 221221221102023. The reversal of 221221221102000 is 201122122122.

It is a happy number.

221221221102000 is a `hidden beast` number, since 2 + 21 + 221 + 221 + 1 + 0 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7617009 + ... + 22370991.

Almost surely, 2^{221221221102000} is an apocalyptic number.

221221221102000 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 221221221102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475834928115456).

221221221102000 is an abundant number, since it is smaller than the sum of its proper divisors (730448635128912).

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

221221221102000 is a wasteful number, since it uses less digits than its factorization.

221221221102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14754043 (or 14754017 counting only the distinct ones).

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

Adding to 221221221102000 its reverse (201122122122), we get a palindrome (221422343224122).

The spelling of 221221221102000 in words is "two hundred twenty-one trillion, two hundred twenty-one billion, two hundred twenty-one million, one hundred two thousand".