202221121121100 has 108 divisors (see below), whose sum is σ = 637352808667120. Its totient is φ = 53627700585600.

The previous prime is 202221121121093. The next prime is 202221121121101. The reversal of 202221121121100 is 1121121122202.

202221121121100 is a `hidden beast` number, since 20 + 2 + 221 + 1 + 211 + 211 + 0 + 0 = 666.

202221121121100 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 (18).

It is not an unprimeable number, because it can be changed into a prime (202221121121101) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 620528080 + ... + 620853879.

Almost surely, 2^{202221121121100} is an apocalyptic number.

202221121121100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202221121121100 is an abundant number, since it is smaller than the sum of its proper divisors (435131687546020).

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

202221121121100 is a wasteful number, since it uses less digits than its factorization.

202221121121100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1241382160 (or 1241382150 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 202221121121100 its reverse (1121121122202), we get a palindrome (203342242243302).

The spelling of 202221121121100 in words is "two hundred two trillion, two hundred twenty-one billion, one hundred twenty-one million, one hundred twenty-one thousand, one hundred".