221121010222112 has 288 divisors, whose sum is σ = 589175665094016. Its totient is φ = 79490831523840.

The previous prime is 221121010222093. The next prime is 221121010222153. The reversal of 221121010222112 is 211222010121122.

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, 851504963 + ... + 851764605.

It is an arithmetic number, because the mean of its divisors is an integer number (2045748837132).

Almost surely, 2^{221121010222112} is an apocalyptic number.

221121010222112 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 221121010222112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294587832547008).

221121010222112 is an abundant number, since it is smaller than the sum of its proper divisors (368054654871904).

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

221121010222112 is a wasteful number, since it uses less digits than its factorization.

221121010222112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262112 (or 262093 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 221121010222112 its reverse (211222010121122), we get a palindrome (432343020343234).

It can be divided in two parts, 221121010 and 222112, that added together give a palindrome (221343122).

The spelling of 221121010222112 in words is "two hundred twenty-one trillion, one hundred twenty-one billion, ten million, two hundred twenty-two thousand, one hundred twelve".