202212221122100 has 54 divisors (see below), whose sum is σ = 510441421044870. Its totient is φ = 69329904383040.

The previous prime is 202212221122073. The next prime is 202212221122111. The reversal of 202212221122100 is 1221122212202.

It can be written as a sum of positive squares in 3 ways, for example, as 65604232926736 + 136607988195364 = 8099644^2 + 11687942^2 .

It is a super-2 number, since 2×202212221122100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 17 ways as a sum of consecutive naturals, for example, 20633895215 + ... + 20633905014.

Almost surely, 2^{202212221122100} is an apocalyptic number.

202212221122100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202212221122100 is an abundant number, since it is smaller than the sum of its proper divisors (308229199922770).

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

202212221122100 is a wasteful number, since it uses less digits than its factorization.

202212221122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41267800257 (or 41267800243 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 202212221122100 its reverse (1221122212202), we get a palindrome (203433343334302).

The spelling of 202212221122100 in words is "two hundred two trillion, two hundred twelve billion, two hundred twenty-one million, one hundred twenty-two thousand, one hundred".