211221100122200 has 192 divisors, whose sum is σ = 563281983360000. Its totient is φ = 72156251059200.

The previous prime is 211221100122181. The next prime is 211221100122211. The reversal of 211221100122200 is 2221001122112.

It is a super-2 number, since 2×211221100122200² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

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, 430791185 + ... + 431281215.

It is an arithmetic number, because the mean of its divisors is an integer number (2933760330000).

Almost surely, 2^{211221100122200} is an apocalyptic number.

211221100122200 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 211221100122200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281640991680000).

211221100122200 is an abundant number, since it is smaller than the sum of its proper divisors (352060883237800).

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

211221100122200 is a wasteful number, since it uses less digits than its factorization.

211221100122200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491170 (or 491161 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 211221100122200 its reverse (2221001122112), we get a palindrome (213442101244312).

The spelling of 211221100122200 in words is "two hundred eleven trillion, two hundred twenty-one billion, one hundred million, one hundred twenty-two thousand, two hundred".