202201102200020 has 192 divisors, whose sum is σ = 533211316162560. Its totient is φ = 62570382336000.

The previous prime is 202201102200007. The next prime is 202201102200059. The reversal of 202201102200020 is 20002201102202.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 202201102199968 and 202201102200004.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 405998516 + ... + 406496244.

It is an arithmetic number, because the mean of its divisors is an integer number (2777142271680).

Almost surely, 2^{202201102200020} is an apocalyptic number.

202201102200020 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 202201102200020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266605658081280).

202201102200020 is an abundant number, since it is smaller than the sum of its proper divisors (331010213962540).

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

202201102200020 is a wasteful number, since it uses less digits than its factorization.

202201102200020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499654 (or 499652 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 202201102200020 its reverse (20002201102202), we get a palindrome (222203303302222).

The spelling of 202201102200020 in words is "two hundred two trillion, two hundred one billion, one hundred two million, two hundred thousand, twenty".