202020201022120 has 128 divisors (see below), whose sum is σ = 494493517556640. Its totient is φ = 73833162854400.

The previous prime is 202020201022091. The next prime is 202020201022127. The reversal of 202020201022120 is 21220102020202.

It can be written as a sum of positive squares in 16 ways, for example, as 7793667057796 + 194226533964324 = 2791714^2 + 13936518^2 .

It is a junction number, because it is equal to n+sod(n) for n = 202020201022094 and 202020201022103.

It is not an unprimeable number, because it can be changed into a prime (202020201022127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 190486434 + ... + 191544046.

Almost surely, 2^{202020201022120} is an apocalyptic number.

202020201022120 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 202020201022120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247246758778320).

202020201022120 is an abundant number, since it is smaller than the sum of its proper divisors (292473316534520).

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

202020201022120 is a wasteful number, since it uses less digits than its factorization.

202020201022120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1061375 (or 1061371 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 202020201022120 its reverse (21220102020202), we get a palindrome (223240303042322).

The spelling of 202020201022120 in words is "two hundred two trillion, twenty billion, two hundred one million, twenty-two thousand, one hundred twenty".