211002212120 has 128 divisors (see below), whose sum is σ = 552191040000. Its totient is φ = 71063626752.

The previous prime is 211002212111. The next prime is 211002212123. The reversal of 211002212120 is 21212200112.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 211002212095 and 211002212104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211002212123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26081036 + ... + 26089124.

It is an arithmetic number, because the mean of its divisors is an integer number (4313992500).

Almost surely, 2^211002212120 is an apocalyptic number.

211002212120 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 211002212120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276095520000).

211002212120 is an abundant number, since it is smaller than the sum of its proper divisors (341188827880).

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

211002212120 is a wasteful number, since it uses less digits than its factorization.

211002212120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9745 (or 9741 counting only the distinct ones).

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

Adding to 211002212120 its reverse (21212200112), we get a palindrome (232214412232).

The spelling of 211002212120 in words is "two hundred eleven billion, two million, two hundred twelve thousand, one hundred twenty".