2020100202120 has 1024 divisors, whose sum is σ = 8452375142400. Its totient is φ = 372690616320.

The previous prime is 2020100202089. The next prime is 2020100202121. The reversal of 2020100202120 is 212020010202.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2020100202096 and 2020100202105.

It is not an unprimeable number, because it can be changed into a prime (2020100202121) by changing a digit.

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 255 ways as a sum of consecutive naturals, for example, 395552607 + ... + 395557713.

It is an arithmetic number, because the mean of its divisors is an integer number (8254272600).

Almost surely, 2^{2020100202120} is an apocalyptic number.

2020100202120 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 2020100202120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4226187571200).

2020100202120 is an abundant number, since it is smaller than the sum of its proper divisors (6432274940280).

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

2020100202120 is a wasteful number, since it uses less digits than its factorization.

2020100202120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5278 (or 5274 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 2020100202120 its reverse (212020010202), we get a palindrome (2232120212322).

The spelling of 2020100202120 in words is "two trillion, twenty billion, one hundred million, two hundred two thousand, one hundred twenty".