202220101020000 has 960 divisors, whose sum is σ = 808999725219840. Its totient is φ = 43160076288000.

The previous prime is 202220101019879. The next prime is 202220101020023. The reversal of 202220101020000 is 20101022202.

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, 906668496 + ... + 906891504.

It is an arithmetic number, because the mean of its divisors is an integer number (842708047104).

Almost surely, 2^{202220101020000} is an apocalyptic number.

202220101020000 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 202220101020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404499862609920).

202220101020000 is an abundant number, since it is smaller than the sum of its proper divisors (606779624199840).

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

202220101020000 is a wasteful number, since it uses less digits than its factorization.

202220101020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223193 (or 223170 counting only the distinct ones).

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

Adding to 202220101020000 its reverse (20101022202), we get a palindrome (202240202042202).

The spelling of 202220101020000 in words is "two hundred two trillion, two hundred twenty billion, one hundred one million, twenty thousand".