221122221102000 has 480 divisors, whose sum is σ = 793283198482944. Its totient is φ = 57364740864000.

The previous prime is 221122221101987. The next prime is 221122221102011. The reversal of 221122221102000 is 201122221122.

It is a happy number.

221122221102000 is a `hidden beast` number, since 2 + 211 + 22 + 221 + 10 + 200 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 6584725210 + ... + 6584758790.

Almost surely, 2^{221122221102000} is an apocalyptic number.

221122221102000 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 221122221102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396641599241472).

221122221102000 is an abundant number, since it is smaller than the sum of its proper divisors (572160977380944).

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

221122221102000 is a wasteful number, since it uses less digits than its factorization.

221122221102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43534 (or 43515 counting only the distinct ones).

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

Adding to 221122221102000 its reverse (201122221122), we get a palindrome (221323343323122).

It can be divided in two parts, 221122 and 221102000, that added together give a palindrome (221323122).

The spelling of 221122221102000 in words is "two hundred twenty-one trillion, one hundred twenty-two billion, two hundred twenty-one million, one hundred two thousand".