212002200010000 has 100 divisors (see below), whose sum is σ = 530977786703100. Its totient is φ = 81876711616000.

The previous prime is 212002200009937. The next prime is 212002200010043. The reversal of 212002200010000 is 10002200212.

It can be written as a sum of positive squares in 10 ways, for example, as 207038946767104 + 4963253242896 = 14388848^2 + 2227836^2 .

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 an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 365231035 + ... + 365811034.

It is an arithmetic number, because the mean of its divisors is an integer number (5309777867031).

Almost surely, 2^{212002200010000} is an apocalyptic number.

212002200010000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212002200010000 is an abundant number, since it is smaller than the sum of its proper divisors (318975586693100).

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

212002200010000 is an equidigital number, since it uses as much as digits as its factorization.

212002200010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 731042126 (or 731042105 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 212002200010000 its reverse (10002200212), we get a palindrome (212012202210212).

It can be divided in two parts, 212002 and 200010000, that added together give a palindrome (200222002).

The spelling of 212002200010000 in words is "two hundred twelve trillion, two billion, two hundred million, ten thousand".