221122102000 has 240 divisors, whose sum is σ = 554939704800. Its totient is φ = 85206528000.

The previous prime is 221122101953. The next prime is 221122102031. The reversal of 221122102000 is 201221122.

It is a happy number.

221122102000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 299217631 + ... + 299218369.

It is an arithmetic number, because the mean of its divisors is an integer number (2312248770).

Almost surely, 2^221122102000 is an apocalyptic number.

221122102000 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 221122102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277469852400).

221122102000 is an abundant number, since it is smaller than the sum of its proper divisors (333817602800).

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

221122102000 is an equidigital number, since it uses as much as digits as its factorization.

221122102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 933 (or 876 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 221122102000 its reverse (201221122), we get a palindrome (221323323122).

The spelling of 221122102000 in words is "two hundred twenty-one billion, one hundred twenty-two million, one hundred two thousand".