211100210022120 has 128 divisors (see below), whose sum is σ = 637837545945600. Its totient is φ = 55891505811456.

The previous prime is 211100210022061. The next prime is 211100210022133. The reversal of 211100210022120 is 21220012001112.

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 211100210022120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1255519 + ... + 20585838.

It is an arithmetic number, because the mean of its divisors is an integer number (4983105827700).

Almost surely, 2^{211100210022120} is an apocalyptic number.

211100210022120 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 211100210022120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318918772972800).

211100210022120 is an abundant number, since it is smaller than the sum of its proper divisors (426737335923480).

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

211100210022120 is a wasteful number, since it uses less digits than its factorization.

211100210022120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21841947 (or 21841943 counting only the distinct ones).

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

Adding to 211100210022120 its reverse (21220012001112), we get a palindrome (232320222023232).

The spelling of 211100210022120 in words is "two hundred eleven trillion, one hundred billion, two hundred ten million, twenty-two thousand, one hundred twenty".