202321311100020 has 216 divisors, whose sum is σ = 720973569207528. Its totient is φ = 45787000896000.

The previous prime is 202321311100001. The next prime is 202321311100021. The reversal of 202321311100020 is 20001113123202.

202321311100020 is a `hidden beast` number, since 2 + 0 + 2 + 321 + 311 + 10 + 0 + 0 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 125596535204196 + 76724775895824 = 11206986^2 + 8759268^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 202321311099966 and 202321311100002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202321311100021) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 112668211 + ... + 114449850.

It is an arithmetic number, because the mean of its divisors is an integer number (3337840598183).

Almost surely, 2^{202321311100020} is an apocalyptic number.

202321311100020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202321311100020 is an abundant number, since it is smaller than the sum of its proper divisors (518652258107508).

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

202321311100020 is a wasteful number, since it uses less digits than its factorization.

202321311100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227118191 (or 227118179 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 202321311100020 its reverse (20001113123202), we get a palindrome (222322424223222).

The spelling of 202321311100020 in words is "two hundred two trillion, three hundred twenty-one billion, three hundred eleven million, one hundred thousand, twenty".