221102323201122 has 192 divisors, whose sum is σ = 508102586812800. Its totient is φ = 64011006259200.

The previous prime is 221102323201061. The next prime is 221102323201147.

221102323201122 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 221102323201092 and 221102323201101.

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, 18565979704 + ... + 18565991612.

It is an arithmetic number, because the mean of its divisors is an integer number (2646367639650).

Almost surely, 2^{221102323201122} is an apocalyptic number.

221102323201122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 221102323201122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254051293406400).

221102323201122 is an abundant number, since it is smaller than the sum of its proper divisors (287000263611678).

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

221102323201122 is a wasteful number, since it uses less digits than its factorization.

221102323201122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21153 (or 21142 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

It can be divided in two parts, 22110 and 2323201122, that added together give a palindrome (2323223232).

The spelling of 221102323201122 in words is "two hundred twenty-one trillion, one hundred two billion, three hundred twenty-three million, two hundred one thousand, one hundred twenty-two".