212021111012200 has 192 divisors, whose sum is σ = 570599479296000. Its totient is φ = 71760481079040.

The previous prime is 212021111012153. The next prime is 212021111012219. The reversal of 212021111012200 is 2210111120212.

It is a super-2 number, since 2×212021111012200² (a number of 29 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 656692009 + ... + 657014791.

It is an arithmetic number, because the mean of its divisors is an integer number (2971872288000).

Almost surely, 2^{212021111012200} is an apocalyptic number.

212021111012200 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 212021111012200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285299739648000).

212021111012200 is an abundant number, since it is smaller than the sum of its proper divisors (358578368283800).

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

212021111012200 is a wasteful number, since it uses less digits than its factorization.

212021111012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328824 (or 328815 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 212021111012200 its reverse (2210111120212), we get a palindrome (214231222132412).

The spelling of 212021111012200 in words is "two hundred twelve trillion, twenty-one billion, one hundred eleven million, twelve thousand, two hundred".