221101221120 has 288 divisors, whose sum is σ = 762815109504. Its totient is φ = 54256435200.

The previous prime is 221101221083. The next prime is 221101221127. The reversal of 221101221120 is 21122101122.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 221101221120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221101221127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16516830 + ... + 16530210.

Almost surely, 2^221101221120 is an apocalyptic number.

221101221120 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 221101221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381407554752).

221101221120 is an abundant number, since it is smaller than the sum of its proper divisors (541713888384).

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

221101221120 is a wasteful number, since it uses less digits than its factorization.

221101221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13749 (or 13735 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 221101221120 its reverse (21122101122), we get a palindrome (242223322242).

The spelling of 221101221120 in words is "two hundred twenty-one billion, one hundred one million, two hundred twenty-one thousand, one hundred twenty".