221122021111112 has 128 divisors (see below), whose sum is σ = 461902623811200. Its totient is φ = 98395687526400.

The previous prime is 221122021111093. The next prime is 221122021111133. The reversal of 221122021111112 is 211111120221122.

It is a happy number.

221122021111112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×221122021111112² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8634530564 + ... + 8634556172.

It is an arithmetic number, because the mean of its divisors is an integer number (3608614248525).

Almost surely, 2^{221122021111112} is an apocalyptic number.

221122021111112 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 221122021111112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230951311905600).

221122021111112 is an abundant number, since it is smaller than the sum of its proper divisors (240780602700088).

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

221122021111112 is a wasteful number, since it uses less digits than its factorization.

221122021111112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35647 (or 35643 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 20.

Adding to 221122021111112 its reverse (211111120221122), we get a palindrome (432233141332234).

It can be divided in two parts, 2211220 and 21111112, that added together give a palindrome (23322332).

The spelling of 221122021111112 in words is "two hundred twenty-one trillion, one hundred twenty-two billion, twenty-one million, one hundred eleven thousand, one hundred twelve".