212120100212220 has 192 divisors, whose sum is σ = 711932502234240. Its totient is φ = 52233495515136.

The previous prime is 212120100212197. The next prime is 212120100212297. The reversal of 212120100212220 is 22212001021212.

It is a happy number.

212120100212220 is a `hidden beast` number, since 2 + 12 + 120 + 100 + 212 + 220 = 666.

212120100212220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 212120100212193 and 212120100212202.

It is a congruent number.

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, 217501807 + ... + 218474886.

It is an arithmetic number, because the mean of its divisors is an integer number (3707981782470).

Almost surely, 2^{212120100212220} is an apocalyptic number.

212120100212220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212120100212220 is an abundant number, since it is smaller than the sum of its proper divisors (499812402022020).

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

212120100212220 is a wasteful number, since it uses less digits than its factorization.

212120100212220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435976781 (or 435976773 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 212120100212220 its reverse (22212001021212), we get a palindrome (234332101233432).

The spelling of 212120100212220 in words is "two hundred twelve trillion, one hundred twenty billion, one hundred million, two hundred twelve thousand, two hundred twenty".