220101200220000 has 960 divisors, whose sum is σ = 805357575880704. Its totient is φ = 52158347520000.

The previous prime is 220101200219993. The next prime is 220101200220037. The reversal of 220101200220000 is 22002101022.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 28135136089 + ... + 28135143911.

Almost surely, 2^{220101200220000} is an apocalyptic number.

220101200220000 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 220101200220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402678787940352).

220101200220000 is an abundant number, since it is smaller than the sum of its proper divisors (585256375660704).

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

220101200220000 is a wasteful number, since it uses less digits than its factorization.

220101200220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8821 (or 8798 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 220101200220000 its reverse (22002101022), we get a palindrome (220123202321022).

The spelling of 220101200220000 in words is "two hundred twenty trillion, one hundred one billion, two hundred million, two hundred twenty thousand".