220010200010000 has 200 divisors, whose sum is σ = 556088428241280. Its totient is φ = 84138089728000.

The previous prime is 220010200009961. The next prime is 220010200010021. The reversal of 220010200010000 is 10002010022.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-3 number, since 3×220010200010000³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 220010200010000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 489445349 + ... + 489894651.

Almost surely, 2^{220010200010000} is an apocalyptic number.

220010200010000 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 220010200010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278044214120640).

220010200010000 is an abundant number, since it is smaller than the sum of its proper divisors (336078228231280).

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

220010200010000 is a wasteful number, since it uses less digits than its factorization.

220010200010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451483 (or 451462 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 220010200010000 its reverse (10002010022), we get a palindrome (220020202020022).

The spelling of 220010200010000 in words is "two hundred twenty trillion, ten billion, two hundred million, ten thousand".