221001101120 has 28 divisors (see below), whose sum is σ = 526258872804. Its totient is φ = 88400440320.

The previous prime is 221001101077. The next prime is 221001101143. The reversal of 221001101120 is 21101100122.

221001101120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 143289503296 + 77711597824 = 378536^2 + 278768^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 345313901 + ... + 345314540.

It is an arithmetic number, because the mean of its divisors is an integer number (18794959743).

Almost surely, 2^221001101120 is an apocalyptic number.

221001101120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221001101120 is an abundant number, since it is smaller than the sum of its proper divisors (305257771684).

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

221001101120 is an equidigital number, since it uses as much as digits as its factorization.

221001101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690628458 (or 690628448 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 221001101120 its reverse (21101100122), we get a palindrome (242102201242).

The spelling of 221001101120 in words is "two hundred twenty-one billion, one million, one hundred one thousand, one hundred twenty".