221002001121120 has 384 divisors, whose sum is σ = 728103798374400. Its totient is φ = 56241298003968.

The previous prime is 221002001121071. The next prime is 221002001121131. The reversal of 221002001121120 is 21121100200122.

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 221002001121120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10544481201 + ... + 10544502159.

It is an arithmetic number, because the mean of its divisors is an integer number (1896103641600).

Almost surely, 2^{221002001121120} is an apocalyptic number.

221002001121120 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 221002001121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364051899187200).

221002001121120 is an abundant number, since it is smaller than the sum of its proper divisors (507101797253280).

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

221002001121120 is a wasteful number, since it uses less digits than its factorization.

221002001121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23162 (or 23154 counting only the distinct ones).

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

Adding to 221002001121120 its reverse (21121100200122), we get a palindrome (242123101321242).

The spelling of 221002001121120 in words is "two hundred twenty-one trillion, two billion, one million, one hundred twenty-one thousand, one hundred twenty".