212102122200120 has 160 divisors (see below), whose sum is σ = 750419789288400. Its totient is φ = 53583694013952.

The previous prime is 212102122200107. The next prime is 212102122200151. The reversal of 212102122200120 is 21002221201212.

It is a happy number.

212102122200120 is a `hidden beast` number, since 2 + 1 + 210 + 212 + 220 + 0 + 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 = 212102122200093 and 212102122200102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1722665229 + ... + 1722788348.

Almost surely, 2^{212102122200120} is an apocalyptic number.

212102122200120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212102122200120 is an abundant number, since it is smaller than the sum of its proper divisors (538317667088280).

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

212102122200120 is a wasteful number, since it uses less digits than its factorization.

212102122200120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3445453619 (or 3445453606 counting only the distinct ones).

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

Adding to 212102122200120 its reverse (21002221201212), we get a palindrome (233104343401332).

The spelling of 212102122200120 in words is "two hundred twelve trillion, one hundred two billion, one hundred twenty-two million, two hundred thousand, one hundred twenty".