221001310120 has 128 divisors (see below), whose sum is σ = 523603491840. Its totient is φ = 83834449920.

The previous prime is 221001310069. The next prime is 221001310129. The reversal of 221001310120 is 21013100122.

It is a self number, because there is not a number n which added to its sum of digits gives 221001310120.

It is not an unprimeable number, because it can be changed into a prime (221001310129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78008224 + ... + 78011056.

It is an arithmetic number, because the mean of its divisors is an integer number (4090652280).

Almost surely, 2^221001310120 is an apocalyptic number.

221001310120 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 221001310120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261801745920).

221001310120 is an abundant number, since it is smaller than the sum of its proper divisors (302602181720).

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

221001310120 is a wasteful number, since it uses less digits than its factorization.

221001310120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4115 (or 4111 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 221001310120 its reverse (21013100122), we get a palindrome (242014410242).

The spelling of 221001310120 in words is "two hundred twenty-one billion, one million, three hundred ten thousand, one hundred twenty".