221113102321120 has 96 divisors (see below), whose sum is σ = 524333781691776. Its totient is φ = 88114424832000.

The previous prime is 221113102321079. The next prime is 221113102321141. The reversal of 221113102321120 is 21123201311122.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 221113102321091 and 221113102321100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 937195170 + ... + 937431070.

It is an arithmetic number, because the mean of its divisors is an integer number (5461810225956).

Almost surely, 2^{221113102321120} is an apocalyptic number.

221113102321120 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 221113102321120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262166890845888).

221113102321120 is an abundant number, since it is smaller than the sum of its proper divisors (303220679370656).

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

221113102321120 is a wasteful number, since it uses less digits than its factorization.

221113102321120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257804 (or 257796 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 221113102321120 its reverse (21123201311122), we get a palindrome (242236303632242).

The spelling of 221113102321120 in words is "two hundred twenty-one trillion, one hundred thirteen billion, one hundred two million, three hundred twenty-one thousand, one hundred twenty".