211200120100220 has 192 divisors, whose sum is σ = 465319383854976. Its totient is φ = 80444140830720.

The previous prime is 211200120100199. The next prime is 211200120100283. The reversal of 211200120100220 is 22001021002112.

It is a junction number, because it is equal to n+sod(n) for n = 211200120100195 and 211200120100204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22653660479 + ... + 22653669801.

It is an arithmetic number, because the mean of its divisors is an integer number (2423538457578).

Almost surely, 2^{211200120100220} is an apocalyptic number.

211200120100220 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 211200120100220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232659691927488).

211200120100220 is an abundant number, since it is smaller than the sum of its proper divisors (254119263754756).

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

211200120100220 is a wasteful number, since it uses less digits than its factorization.

211200120100220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12640 (or 12638 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 211200120100220 its reverse (22001021002112), we get a palindrome (233201141102332).

The spelling of 211200120100220 in words is "two hundred eleven trillion, two hundred billion, one hundred twenty million, one hundred thousand, two hundred twenty".