212102120220120 has 144 divisors (see below), whose sum is σ = 746436307911840. Its totient is φ = 52209752654592.

The previous prime is 212102120220119. The next prime is 212102120220121. The reversal of 212102120220120 is 21022021201212.

It is a happy number.

212102120220120 is a `hidden beast` number, since 2 + 1 + 210 + 212 + 0 + 220 + 1 + 20 = 666.

212102120220120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (212102120220119) and next prime (212102120220121).

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 = 212102120220093 and 212102120220102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212102120220121) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1743053232 + ... + 1743174911.

It is an arithmetic number, because the mean of its divisors is an integer number (5183585471610).

Almost surely, 2^{212102120220120} is an apocalyptic number.

212102120220120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212102120220120 is an abundant number, since it is smaller than the sum of its proper divisors (534334187691720).

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

212102120220120 is a wasteful number, since it uses less digits than its factorization.

212102120220120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3486228186 (or 3486228166 counting only the distinct ones).

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

Adding to 212102120220120 its reverse (21022021201212), we get a palindrome (233124141421332).

The spelling of 212102120220120 in words is "two hundred twelve trillion, one hundred two billion, one hundred twenty million, two hundred twenty thousand, one hundred twenty".