221022001110120 has 384 divisors, whose sum is σ = 786790741334400. Its totient is φ = 49508357842944.

The previous prime is 221022001110101. The next prime is 221022001110217. The reversal of 221022001110120 is 21011100220122.

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 221022001110120.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 267285942 + ... + 268111578.

It is an arithmetic number, because the mean of its divisors is an integer number (2048934222225).

Almost surely, 2^{221022001110120} is an apocalyptic number.

221022001110120 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 221022001110120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393395370667200).

221022001110120 is an abundant number, since it is smaller than the sum of its proper divisors (565768740224280).

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

221022001110120 is a wasteful number, since it uses less digits than its factorization.

221022001110120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826577 (or 826566 counting only the distinct ones).

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

Adding to 221022001110120 its reverse (21011100220122), we get a palindrome (242033101330242).

The spelling of 221022001110120 in words is "two hundred twenty-one trillion, twenty-two billion, one million, one hundred ten thousand, one hundred twenty".