202011201221100 has 72 divisors (see below), whose sum is σ = 584516685412800. Its totient is φ = 53866801750080.

The previous prime is 202011201221069. The next prime is 202011201221119. The reversal of 202011201221100 is 1122102110202.

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 202011201221100.

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 23 ways as a sum of consecutive naturals, for example, 12145282 + ... + 23484681.

It is an arithmetic number, because the mean of its divisors is an integer number (8118287297400).

Almost surely, 2^{202011201221100} is an apocalyptic number.

202011201221100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202011201221100 is an abundant number, since it is smaller than the sum of its proper divisors (382505484191700).

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

202011201221100 is a wasteful number, since it uses less digits than its factorization.

202011201221100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35648879 (or 35648872 counting only the distinct ones).

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

Adding to 202011201221100 its reverse (1122102110202), we get a palindrome (203133303331302).

The spelling of 202011201221100 in words is "two hundred two trillion, eleven billion, two hundred one million, two hundred twenty-one thousand, one hundred".