221000220102112 has 72 divisors (see below), whose sum is σ = 476729990464392. Its totient is φ = 100015970572800.

The previous prime is 221000220102047. The next prime is 221000220102119. The reversal of 221000220102112 is 211201022000122.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221000220102119) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 12473062 + ... + 24445402.

It is an arithmetic number, because the mean of its divisors is an integer number (6621249867561).

Almost surely, 2^{221000220102112} is an apocalyptic number.

221000220102112 is a gapful number since it is divisible by the number (22) 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 221000220102112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238364995232196).

221000220102112 is an abundant number, since it is smaller than the sum of its proper divisors (255729770362280).

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

221000220102112 is a wasteful number, since it uses less digits than its factorization.

221000220102112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11972820 (or 11972583 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 221000220102112 its reverse (211201022000122), we get a palindrome (432201242102234).

The spelling of 221000220102112 in words is "two hundred twenty-one trillion, two hundred twenty million, one hundred two thousand, one hundred twelve".