200121120112221 has 96 divisors (see below), whose sum is σ = 360586716602112. Its totient is φ = 103902665518080.

The previous prime is 200121120112183. The next prime is 200121120112253. The reversal of 200121120112221 is 122211021121002.

200121120112221 is a `hidden beast` number, since 20 + 0 + 1 + 211 + 201 + 12 + 221 = 666.

It is not a de Polignac number, because 200121120112221 - 2²² = 200121115917917 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 200121120112194 and 200121120112203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200121120112021) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 12687567091 + ... + 12687582863.

It is an arithmetic number, because the mean of its divisors is an integer number (3756111631272).

Almost surely, 2^{200121120112221} is an apocalyptic number.

200121120112221 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

200121120112221 is a deficient number, since it is larger than the sum of its proper divisors (160465596489891).

200121120112221 is a wasteful number, since it uses less digits than its factorization.

200121120112221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24563 (or 24560 counting only the distinct ones).

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

Adding to 200121120112221 its reverse (122211021121002), we get a palindrome (322332141233223).

The spelling of 200121120112221 in words is "two hundred trillion, one hundred twenty-one billion, one hundred twenty million, one hundred twelve thousand, two hundred twenty-one".