202201221011100 has 288 divisors, whose sum is σ = 616501841356800. Its totient is φ = 51026461920000.

The previous prime is 202201221011033. The next prime is 202201221011161. The reversal of 202201221011100 is 1110122102202.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 202201221011100.

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 95 ways as a sum of consecutive naturals, for example, 24108881107 + ... + 24108889493.

It is an arithmetic number, because the mean of its divisors is an integer number (2140631393600).

Almost surely, 2^{202201221011100} is an apocalyptic number.

202201221011100 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 202201221011100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308250920678400).

202201221011100 is an abundant number, since it is smaller than the sum of its proper divisors (414300620345700).

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

202201221011100 is a wasteful number, since it uses less digits than its factorization.

202201221011100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12553 (or 12546 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 202201221011100 its reverse (1110122102202), we get a palindrome (203311343113302).

The spelling of 202201221011100 in words is "two hundred two trillion, two hundred one billion, two hundred twenty-one million, eleven thousand, one hundred".