221011100101120 has 320 divisors, whose sum is σ = 626852947057920. Its totient is φ = 73120258326528.

The previous prime is 221011100101093. The next prime is 221011100101151. The reversal of 221011100101120 is 21101001110122.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a self number, because there is not a number n which added to its sum of digits gives 221011100101120.

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, 910877739 + ... + 911120341.

It is an arithmetic number, because the mean of its divisors is an integer number (1958915459556).

Almost surely, 2^{221011100101120} is an apocalyptic number.

221011100101120 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 221011100101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313426473528960).

221011100101120 is an abundant number, since it is smaller than the sum of its proper divisors (405841846956800).

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

221011100101120 is a wasteful number, since it uses less digits than its factorization.

221011100101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244415 (or 244399 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 221011100101120 its reverse (21101001110122), we get a palindrome (242112101211242).

The spelling of 221011100101120 in words is "two hundred twenty-one trillion, eleven billion, one hundred million, one hundred one thousand, one hundred twenty".