212011221102120 has 192 divisors, whose sum is σ = 771991719632640. Its totient is φ = 50007560716800.

The previous prime is 212011221102077. The next prime is 212011221102223. The reversal of 212011221102120 is 21201122110212.

212011221102120 is a `hidden beast` number, since 21 + 201 + 1 + 221 + 10 + 212 + 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 = 212011221102093 and 212011221102102.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 723342496 + ... + 723635535.

It is an arithmetic number, because the mean of its divisors is an integer number (4020790206420).

Almost surely, 2^{212011221102120} is an apocalyptic number.

212011221102120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212011221102120 is an abundant number, since it is smaller than the sum of its proper divisors (559980498530520).

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

212011221102120 is a wasteful number, since it uses less digits than its factorization.

212011221102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1446978096 (or 1446978089 counting only the distinct ones).

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

Adding to 212011221102120 its reverse (21201122110212), we get a palindrome (233212343212332).

It can be divided in two parts, 2120112 and 21102120, that added together give a palindrome (23222232).

The spelling of 212011221102120 in words is "two hundred twelve trillion, eleven billion, two hundred twenty-one million, one hundred two thousand, one hundred twenty".