211200102210120 has 128 divisors (see below), whose sum is σ = 647483856076800. Its totient is φ = 55087425426176.

The previous prime is 211200102210103. The next prime is 211200102210143. The reversal of 211200102210120 is 21012201002112.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 211200102210120.

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 31 ways as a sum of consecutive naturals, for example, 2587680 + ... + 20714639.

It is an arithmetic number, because the mean of its divisors is an integer number (5058467625600).

Almost surely, 2^{211200102210120} is an apocalyptic number.

211200102210120 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 211200102210120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323741928038400).

211200102210120 is an abundant number, since it is smaller than the sum of its proper divisors (436283753866680).

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

211200102210120 is a wasteful number, since it uses less digits than its factorization.

211200102210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23303987 (or 23303983 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 211200102210120 its reverse (21012201002112), we get a palindrome (232212303212232).

The spelling of 211200102210120 in words is "two hundred eleven trillion, two hundred billion, one hundred two million, two hundred ten thousand, one hundred twenty".