212120102120 has 32 divisors (see below), whose sum is σ = 493727826600. Its totient is φ = 81922245888.

The previous prime is 212120102099. The next prime is 212120102137. The reversal of 212120102120 is 21201021212.

It can be written as a sum of positive squares in 4 ways, for example, as 108771997636 + 103348104484 = 329806^2 + 321478^2 .

It is a junction number, because it is equal to n+sod(n) for n = 212120102095 and 212120102104.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 91429919 + ... + 91432238.

Almost surely, 2^212120102120 is an apocalyptic number.

212120102120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212120102120 is an abundant number, since it is smaller than the sum of its proper divisors (281607724480).

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

212120102120 is a wasteful number, since it uses less digits than its factorization.

212120102120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182862197 (or 182862193 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 212120102120 its reverse (21201021212), we get a palindrome (233321123332).

The spelling of 212120102120 in words is "two hundred twelve billion, one hundred twenty million, one hundred two thousand, one hundred twenty".