202202020100020 has 24 divisors (see below), whose sum is σ = 424627539772968. Its totient is φ = 80880179932800.

The previous prime is 202202020099979. The next prime is 202202020100029. The reversal of 202202020100020 is 20001020202202.

It can be written as a sum of positive squares in 4 ways, for example, as 34771825671696 + 167430194428324 = 5896764^2 + 12939482^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202202020100029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36612591 + ... + 41771830.

It is an arithmetic number, because the mean of its divisors is an integer number (17692814157207).

Almost surely, 2^{202202020100020} is an apocalyptic number.

202202020100020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202202020100020 is an abundant number, since it is smaller than the sum of its proper divisors (222425519672948).

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

202202020100020 is a wasteful number, since it uses less digits than its factorization.

202202020100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78513411 (or 78513409 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

Adding to 202202020100020 its reverse (20001020202202), we get a palindrome (222203040302222).

The spelling of 202202020100020 in words is "two hundred two trillion, two hundred two billion, twenty million, one hundred thousand, twenty".