202221202001100 has 72 divisors (see below), whose sum is σ = 585098823934800. Its totient is φ = 53925148846080.

The previous prime is 202221202001053. The next prime is 202221202001141. The reversal of 202221202001100 is 1100202122202.

202221202001100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 202221202001100.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29492644 + ... + 35696756.

It is an arithmetic number, because the mean of its divisors is an integer number (8126372554650).

Almost surely, 2^{202221202001100} is an apocalyptic number.

202221202001100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202221202001100 is an abundant number, since it is smaller than the sum of its proper divisors (382877621933700).

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

202221202001100 is a wasteful number, since it uses less digits than its factorization.

202221202001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6312779 (or 6312772 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 202221202001100 its reverse (1100202122202), we get a palindrome (203321404123302).

The spelling of 202221202001100 in words is "two hundred two trillion, two hundred twenty-one billion, two hundred two million, one thousand, one hundred".