20212102012120 has 128 divisors (see below), whose sum is σ = 46287002361600. Its totient is φ = 7941590908416.

The previous prime is 20212102012099. The next prime is 20212102012139. The reversal of 20212102012120 is 2121020121202.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 20212102012094 and 20212102012103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2118886311 + ... + 2118895849.

It is an arithmetic number, because the mean of its divisors is an integer number (361617205950).

Almost surely, 2^{20212102012120} is an apocalyptic number.

20212102012120 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 20212102012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23143501180800).

20212102012120 is an abundant number, since it is smaller than the sum of its proper divisors (26074900349480).

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

20212102012120 is a wasteful number, since it uses less digits than its factorization.

20212102012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11777 (or 11773 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 20212102012120 its reverse (2121020121202), we get a palindrome (22333122133322).

The spelling of 20212102012120 in words is "twenty trillion, two hundred twelve billion, one hundred two million, twelve thousand, one hundred twenty".