20212101120120 has 512 divisors, whose sum is σ = 75192055142400. Its totient is φ = 4257649004544.

The previous prime is 20212101120091. The next prime is 20212101120131. The reversal of 20212101120120 is 2102110121202.

20212101120120 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20212101120120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1186635124 + ... + 1186652156.

It is an arithmetic number, because the mean of its divisors is an integer number (146859482700).

Almost surely, 2^{20212101120120} is an apocalyptic number.

20212101120120 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 20212101120120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37596027571200).

20212101120120 is an abundant number, since it is smaller than the sum of its proper divisors (54979954022280).

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

20212101120120 is a wasteful number, since it uses less digits than its factorization.

20212101120120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17736 (or 17706 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 20212101120120 its reverse (2102110121202), we get a palindrome (22314211241322).

The spelling of 20212101120120 in words is "twenty trillion, two hundred twelve billion, one hundred one million, one hundred twenty thousand, one hundred twenty".