202221212212100 has 288 divisors, whose sum is σ = 458597441218560. Its totient is φ = 77339598336000.

The previous prime is 202221212212099. The next prime is 202221212212109. The reversal of 202221212212100 is 1212212122202.

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

It is not an unprimeable number, because it can be changed into a prime (202221212212109) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24314197142 + ... + 24314205458.

Almost surely, 2^{202221212212100} is an apocalyptic number.

202221212212100 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 202221212212100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229298720609280).

202221212212100 is an abundant number, since it is smaller than the sum of its proper divisors (256376229006460).

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

202221212212100 is a wasteful number, since it uses less digits than its factorization.

202221212212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8999 (or 8992 counting only the distinct ones).

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

Adding to 202221212212100 its reverse (1212212122202), we get a palindrome (203433424334302).

The spelling of 202221212212100 in words is "two hundred two trillion, two hundred twenty-one billion, two hundred twelve million, two hundred twelve thousand, one hundred".