202201222100020 has 384 divisors, whose sum is σ = 518520966856704. Its totient is φ = 65263968000000.

The previous prime is 202201222099999. The next prime is 202201222100039. The reversal of 202201222100020 is 20001222102202.

It is a junction number, because it is equal to n+sod(n) for n = 202201222099967 and 202201222100003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1374033445 + ... + 1374180595.

It is an arithmetic number, because the mean of its divisors is an integer number (1350315017856).

Almost surely, 2^{202201222100020} is an apocalyptic number.

202201222100020 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 202201222100020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259260483428352).

202201222100020 is an abundant number, since it is smaller than the sum of its proper divisors (316319744756684).

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

202201222100020 is a wasteful number, since it uses less digits than its factorization.

202201222100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147423 (or 147421 counting only the distinct ones).

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

Adding to 202201222100020 its reverse (20001222102202), we get a palindrome (222202444202222).

The spelling of 202201222100020 in words is "two hundred two trillion, two hundred one billion, two hundred twenty-two million, one hundred thousand, twenty".