211200101000120 has 128 divisors (see below), whose sum is σ = 510516987724800. Its totient is φ = 78389872344576.

The previous prime is 211200101000087. The next prime is 211200101000123. The reversal of 211200101000120 is 21000101002112.

It is a super-3 number, since 3×211200101000120³ (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211200101000123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19178177 + ... + 28110543.

It is an arithmetic number, because the mean of its divisors is an integer number (3988413966600).

Almost surely, 2^{211200101000120} is an apocalyptic number.

211200101000120 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 211200101000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255258493862400).

211200101000120 is an abundant number, since it is smaller than the sum of its proper divisors (299316886724680).

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

211200101000120 is a wasteful number, since it uses less digits than its factorization.

211200101000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8933037 (or 8933033 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 211200101000120 its reverse (21000101002112), we get a palindrome (232200202002232).

The spelling of 211200101000120 in words is "two hundred eleven trillion, two hundred billion, one hundred one million, one hundred twenty", and thus it is an aban number.