211221002122200 has 768 divisors, whose sum is σ = 897542339328000. Its totient is φ = 44587576535040.

The previous prime is 211221002122181. The next prime is 211221002122201. The reversal of 211221002122200 is 2221200122112.

It is a happy number.

211221002122200 is a `hidden beast` number, since 2 + 11 + 221 + 0 + 0 + 212 + 220 + 0 = 666.

It is a super-2 number, since 2×211221002122200² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211221002122201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 21023802 + ... + 29401398.

It is an arithmetic number, because the mean of its divisors is an integer number (1168674921000).

Almost surely, 2^{211221002122200} is an apocalyptic number.

211221002122200 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 211221002122200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448771169664000).

211221002122200 is an abundant number, since it is smaller than the sum of its proper divisors (686321337205800).

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

211221002122200 is a wasteful number, since it uses less digits than its factorization.

211221002122200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8377681 (or 8377666 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 211221002122200 its reverse (2221200122112), we get a palindrome (213442202244312).

The spelling of 211221002122200 in words is "two hundred eleven trillion, two hundred twenty-one billion, two million, one hundred twenty-two thousand, two hundred".