212102132220 has 288 divisors, whose sum is σ = 722348093376. Its totient is φ = 49923993600.

The previous prime is 212102132201. The next prime is 212102132239. The reversal of 212102132220 is 22231201212.

212102132220 is a `hidden beast` number, since 21 + 210 + 213 + 2 + 220 = 666.

212102132220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (212102132201) and next prime (212102132239).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 212102132193 and 212102132202.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 38165682 + ... + 38171238.

It is an arithmetic number, because the mean of its divisors is an integer number (2508153102).

Almost surely, 2^212102132220 is an apocalyptic number.

212102132220 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 212102132220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361174046688).

212102132220 is an abundant number, since it is smaller than the sum of its proper divisors (510245961156).

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

212102132220 is a wasteful number, since it uses less digits than its factorization.

212102132220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6141 (or 6136 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 212102132220 its reverse (22231201212), we get a palindrome (234333333432).

The spelling of 212102132220 in words is "two hundred twelve billion, one hundred two million, one hundred thirty-two thousand, two hundred twenty".