212121121102200 has 192 divisors, whose sum is σ = 746184937536000. Its totient is φ = 55362108136320.

The previous prime is 212121121102159. The next prime is 212121121102213. The reversal of 212121121102200 is 2201121121212.

212121121102200 is a `hidden beast` number, since 2 + 1 + 21 + 211 + 211 + 0 + 220 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 417636510 + ... + 418144109.

It is an arithmetic number, because the mean of its divisors is an integer number (3886379883000).

Almost surely, 2^{212121121102200} is an apocalyptic number.

212121121102200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212121121102200 is an abundant number, since it is smaller than the sum of its proper divisors (534063816433800).

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

212121121102200 is a wasteful number, since it uses less digits than its factorization.

212121121102200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 835780691 (or 835780676 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 212121121102200 its reverse (2201121121212), we get a palindrome (214322242223412).

The spelling of 212121121102200 in words is "two hundred twelve trillion, one hundred twenty-one billion, one hundred twenty-one million, one hundred two thousand, two hundred".