202102020120 has 768 divisors, whose sum is σ = 837338342400. Its totient is φ = 37686435840.

The previous prime is 202102020077. The next prime is 202102020121. The reversal of 202102020120 is 21020201202.

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 = 202102020096 and 202102020105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202102020121) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 164443666 + ... + 164444894.

It is an arithmetic number, because the mean of its divisors is an integer number (1090284300).

Almost surely, 2^202102020120 is an apocalyptic number.

202102020120 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 202102020120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418669171200).

202102020120 is an abundant number, since it is smaller than the sum of its proper divisors (635236322280).

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

202102020120 is a wasteful number, since it uses less digits than its factorization.

202102020120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1348 (or 1307 counting only the distinct ones).

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

Adding to 202102020120 its reverse (21020201202), we get a palindrome (223122221322).

The spelling of 202102020120 in words is "two hundred two billion, one hundred two million, twenty thousand, one hundred twenty".