220201110010200 has 384 divisors, whose sum is σ = 783940533523200. Its totient is φ = 50568198912000.

The previous prime is 220201110010163. The next prime is 220201110010201. The reversal of 220201110010200 is 2010011102022.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220201110010201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1611697890 + ... + 1611834510.

It is an arithmetic number, because the mean of its divisors is an integer number (2041511806050).

Almost surely, 2^{220201110010200} is an apocalyptic number.

220201110010200 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 220201110010200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391970266761600).

220201110010200 is an abundant number, since it is smaller than the sum of its proper divisors (563739423513000).

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

220201110010200 is a wasteful number, since it uses less digits than its factorization.

220201110010200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149523 (or 149514 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 220201110010200 its reverse (2010011102022), we get a palindrome (222211121112222).

The spelling of 220201110010200 in words is "two hundred twenty trillion, two hundred one billion, one hundred ten million, ten thousand, two hundred".