220101120022000 has 320 divisors, whose sum is σ = 645435989452800. Its totient is φ = 70958796902400.

The previous prime is 220101120021983. The next prime is 220101120022037. The reversal of 220101120022000 is 220021101022.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13205256 + ... + 24790744.

It is an arithmetic number, because the mean of its divisors is an integer number (2016987467040).

Almost surely, 2^{220101120022000} is an apocalyptic number.

220101120022000 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 220101120022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322717994726400).

220101120022000 is an abundant number, since it is smaller than the sum of its proper divisors (425334869430800).

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

220101120022000 is a wasteful number, since it uses less digits than its factorization.

220101120022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11585601 (or 11585585 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 220101120022000 its reverse (220021101022), we get a palindrome (220321141123022).

The spelling of 220101120022000 in words is "two hundred twenty trillion, one hundred one billion, one hundred twenty million, twenty-two thousand".