202221221200100 has 144 divisors (see below), whose sum is σ = 458210352660480. Its totient is φ = 77319042662400.

The previous prime is 202221221200073. The next prime is 202221221200289. The reversal of 202221221200100 is 1002122122202.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39504045341 + ... + 39504050459.

It is an arithmetic number, because the mean of its divisors is an integer number (3182016337920).

Almost surely, 2^{202221221200100} is an apocalyptic number.

202221221200100 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 202221221200100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229105176330240).

202221221200100 is an abundant number, since it is smaller than the sum of its proper divisors (255989131460380).

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

202221221200100 is a wasteful number, since it uses less digits than its factorization.

202221221200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13470 (or 13463 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 202221221200100 its reverse (1002122122202), we get a palindrome (203223343322302).

The spelling of 202221221200100 in words is "two hundred two trillion, two hundred twenty-one billion, two hundred twenty-one million, two hundred thousand, one hundred".