200212101010000 has 100 divisors (see below), whose sum is σ = 484740369444100. Its totient is φ = 80083708416000.

The previous prime is 200212101009997. The next prime is 200212101010043. The reversal of 200212101010000 is 10101212002.

It can be written as a sum of positive squares in 10 ways, for example, as 62580630067264 + 137631470942736 = 7910792^2 + 11731644^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 1406218816 + ... + 1406361184.

It is an arithmetic number, because the mean of its divisors is an integer number (4847403694441).

Almost surely, 2^{200212101010000} is an apocalyptic number.

200212101010000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200212101010000 is an abundant number, since it is smaller than the sum of its proper divisors (284528268434100).

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

200212101010000 is a wasteful number, since it uses less digits than its factorization.

200212101010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283026 (or 283005 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 200212101010000 its reverse (10101212002), we get a palindrome (200222202222002).

The spelling of 200212101010000 in words is "two hundred trillion, two hundred twelve billion, one hundred one million, ten thousand".