212121112102020 has 768 divisors, whose sum is σ = 752951859609600. Its totient is φ = 49108752576000.

The previous prime is 212121112102007. The next prime is 212121112102117. The reversal of 212121112102020 is 20201211121212.

212121112102020 is a `hidden beast` number, since 21 + 21 + 211 + 1 + 210 + 202 + 0 = 666.

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 = 212121112101984 and 212121112102002.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 51598419765 + ... + 51598423875.

It is an arithmetic number, because the mean of its divisors is an integer number (980406067200).

Almost surely, 2^{212121112102020} is an apocalyptic number.

212121112102020 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 212121112102020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376475929804800).

212121112102020 is an abundant number, since it is smaller than the sum of its proper divisors (540830747507580).

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

212121112102020 is a wasteful number, since it uses less digits than its factorization.

212121112102020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7797 (or 7789 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 212121112102020 its reverse (20201211121212), we get a palindrome (232322323223232).

The spelling of 212121112102020 in words is "two hundred twelve trillion, one hundred twenty-one billion, one hundred twelve million, one hundred two thousand, twenty".