221002101120120 has 128 divisors (see below), whose sum is σ = 666687406190400. Its totient is φ = 58606909784064.

The previous prime is 221002101120091. The next prime is 221002101120131. The reversal of 221002101120120 is 21021101200122.

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 221002101120120.

It is a congruent number.

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, 61074436 + ... + 64591724.

Almost surely, 2^{221002101120120} is an apocalyptic number.

221002101120120 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 221002101120120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333343703095200).

221002101120120 is an abundant number, since it is smaller than the sum of its proper divisors (445685305070280).

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

221002101120120 is a wasteful number, since it uses less digits than its factorization.

221002101120120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3520209 (or 3520205 counting only the distinct ones).

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

Adding to 221002101120120 its reverse (21021101200122), we get a palindrome (242023202320242).

The spelling of 221002101120120 in words is "two hundred twenty-one trillion, two billion, one hundred one million, one hundred twenty thousand, one hundred twenty".