212120212110 has 128 divisors (see below), whose sum is σ = 550995056640. Its totient is φ = 52086758400.

The previous prime is 212120212079. The next prime is 212120212133. The reversal of 212120212110 is 11212021212.

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 212120212110.

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, 6316524 + ... + 6350016.

It is an arithmetic number, because the mean of its divisors is an integer number (4304648880).

Almost surely, 2^212120212110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212120212110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275497528320).

212120212110 is an abundant number, since it is smaller than the sum of its proper divisors (338874844530).

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

212120212110 is a wasteful number, since it uses less digits than its factorization.

212120212110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33834.

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

Adding to 212120212110 its reverse (11212021212), we get a palindrome (223332233322).

It can be divided in two parts, 2121202 and 12110, that added together give a palindrome (2133312).

The spelling of 212120212110 in words is "two hundred twelve billion, one hundred twenty million, two hundred twelve thousand, one hundred ten".