212202121010200 has 96 divisors (see below), whose sum is σ = 497429808168960. Its totient is φ = 84182845622400.

The previous prime is 212202121010161. The next prime is 212202121010227. The reversal of 212202121010200 is 2010121202212.

It is a happy number.

It is a super-2 number, since 2×212202121010200² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70742905 + ... + 73681495.

It is an arithmetic number, because the mean of its divisors is an integer number (5181560501760).

Almost surely, 2^{212202121010200} is an apocalyptic number.

212202121010200 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 212202121010200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248714904084480).

212202121010200 is an abundant number, since it is smaller than the sum of its proper divisors (285227687158760).

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

212202121010200 is a wasteful number, since it uses less digits than its factorization.

212202121010200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2941577 (or 2941568 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 212202121010200 its reverse (2010121202212), we get a palindrome (214212242212412).

The spelling of 212202121010200 in words is "two hundred twelve trillion, two hundred two billion, one hundred twenty-one million, ten thousand, two hundred".