212102000220 has 96 divisors (see below), whose sum is σ = 648276685056. Its totient is φ = 51386803200.

The previous prime is 212102000219. The next prime is 212102000221. The reversal of 212102000220 is 22000201212.

It is an interprime number because it is at equal distance from previous prime (212102000219) and next prime (212102000221).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 212102000196 and 212102000205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212102000221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 975060 + ... + 1172580.

It is an arithmetic number, because the mean of its divisors is an integer number (6752882136).

Almost surely, 2^212102000220 is an apocalyptic number.

212102000220 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 212102000220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324138342528).

212102000220 is an abundant number, since it is smaller than the sum of its proper divisors (436174684836).

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

212102000220 is a wasteful number, since it uses less digits than its factorization.

212102000220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199171 (or 199169 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 212102000220 its reverse (22000201212), we get a palindrome (234102201432).

The spelling of 212102000220 in words is "two hundred twelve billion, one hundred two million, two hundred twenty", and thus it is an aban number.