212121100210200 has 96 divisors (see below), whose sum is σ = 657757722716160. Its totient is φ = 56549943964800.

The previous prime is 212121100210199. The next prime is 212121100210289. The reversal of 212121100210200 is 2012001121212.

It is a super-3 number, since 3×212121100210200³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 212121100210200.

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, 46842616 + ... + 51171015.

It is an arithmetic number, because the mean of its divisors is an integer number (6851642944960).

Almost surely, 2^{212121100210200} is an apocalyptic number.

212121100210200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212121100210200 is an abundant number, since it is smaller than the sum of its proper divisors (445636622505960).

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

212121100210200 is a wasteful number, since it uses less digits than its factorization.

212121100210200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98017257 (or 98017248 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 212121100210200 its reverse (2012001121212), we get a palindrome (214133101331412).

The spelling of 212121100210200 in words is "two hundred twelve trillion, one hundred twenty-one billion, one hundred million, two hundred ten thousand, two hundred".