212202222102020 has 96 divisors (see below), whose sum is σ = 477610061687136. Its totient is φ = 78914248704000.

The previous prime is 212202222102007. The next prime is 212202222102041. The reversal of 212202222102020 is 20201222202212.

It can be written as a sum of positive squares in 16 ways, for example, as 57554891212036 + 154647330889984 = 7586494^2 + 12435728^2 .

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 = 212202222101983 and 212202222102001.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7733600 + ... + 22004840.

It is an arithmetic number, because the mean of its divisors is an integer number (4975104809241).

Almost surely, 2^{212202222102020} is an apocalyptic number.

212202222102020 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 212202222102020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238805030843568).

212202222102020 is an abundant number, since it is smaller than the sum of its proper divisors (265407839585116).

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

212202222102020 is a wasteful number, since it uses less digits than its factorization.

212202222102020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14271801 (or 14271799 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 212202222102020 its reverse (20201222202212), we get a palindrome (232403444304232).

The spelling of 212202222102020 in words is "two hundred twelve trillion, two hundred two billion, two hundred twenty-two million, one hundred two thousand, twenty".