212210102122120 has 128 divisors (see below), whose sum is σ = 491323081536000. Its totient is φ = 82440643461120.

The previous prime is 212210102122103. The next prime is 212210102122163. The reversal of 212210102122120 is 21221201012212.

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, 1239683896 + ... + 1239855064.

It is an arithmetic number, because the mean of its divisors is an integer number (3838461574500).

Almost surely, 2^{212210102122120} is an apocalyptic number.

212210102122120 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 212210102122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245661540768000).

212210102122120 is an abundant number, since it is smaller than the sum of its proper divisors (279112979413880).

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

212210102122120 is a wasteful number, since it uses less digits than its factorization.

212210102122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174623 (or 174619 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 212210102122120 its reverse (21221201012212), we get a palindrome (233431303134332).

The spelling of 212210102122120 in words is "two hundred twelve trillion, two hundred ten billion, one hundred two million, one hundred twenty-two thousand, one hundred twenty".