220010212102200 has 3072 divisors, whose sum is σ = 827313448550400. Its totient is φ = 47947161600000.

The previous prime is 220010212102111. The next prime is 220010212102249. The reversal of 220010212102200 is 2201212010022.

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 220010212102200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 1457021272125 + ... + 1457021272275.

It is an arithmetic number, because the mean of its divisors is an integer number (269307763200).

Almost surely, 2^{220010212102200} is an apocalyptic number.

220010212102200 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 220010212102200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413656724275200).

220010212102200 is an abundant number, since it is smaller than the sum of its proper divisors (607303236448200).

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

220010212102200 is a wasteful number, since it uses less digits than its factorization.

220010212102200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 220010212102200 its reverse (2201212010022), we get a palindrome (222211424112222).

The spelling of 220010212102200 in words is "two hundred twenty trillion, ten billion, two hundred twelve million, one hundred two thousand, two hundred".