212102012221220 has 192 divisors, whose sum is σ = 491373058240512. Its totient is φ = 76263156864000.

The previous prime is 212102012221219. The next prime is 212102012221241. The reversal of 212102012221220 is 22122210201212.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 212102012221192 and 212102012221201.

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, 32525991560 + ... + 32525998080.

It is an arithmetic number, because the mean of its divisors is an integer number (2559234678336).

Almost surely, 2^{212102012221220} is an apocalyptic number.

212102012221220 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 212102012221220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245686529120256).

212102012221220 is an abundant number, since it is smaller than the sum of its proper divisors (279271046019292).

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

212102012221220 is a wasteful number, since it uses less digits than its factorization.

212102012221220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9042 (or 9040 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 212102012221220 its reverse (22122210201212), we get a palindrome (234224222422432).

The spelling of 212102012221220 in words is "two hundred twelve trillion, one hundred two billion, twelve million, two hundred twenty-one thousand, two hundred twenty".