212202102210120 has 192 divisors, whose sum is σ = 753026471346240. Its totient is φ = 51396878246400.

The previous prime is 212202102210107. The next prime is 212202102210151. The reversal of 212202102210120 is 21012201202212.

It is a happy number.

212202102210120 is a `hidden beast` number, since 2 + 1 + 220 + 210 + 2 + 210 + 1 + 20 = 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 = 212202102210093 and 212202102210102.

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, 19563426 + ... + 28410065.

It is an arithmetic number, because the mean of its divisors is an integer number (3922012871595).

Almost surely, 2^{212202102210120} is an apocalyptic number.

212202102210120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212202102210120 is an abundant number, since it is smaller than the sum of its proper divisors (540824369136120).

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

212202102210120 is a wasteful number, since it uses less digits than its factorization.

212202102210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47974636 (or 47974629 counting only the distinct ones).

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

Adding to 212202102210120 its reverse (21012201202212), we get a palindrome (233214303412332).

The spelling of 212202102210120 in words is "two hundred twelve trillion, two hundred two billion, one hundred two million, two hundred ten thousand, one hundred twenty".