202112121010221 has 24 divisors (see below), whose sum is σ = 299831034990240. Its totient is φ = 131099298706656.

The previous prime is 202112121010193. The next prime is 202112121010253. The reversal of 202112121010221 is 122010121211202.

202112121010221 is a `hidden beast` number, since 2 + 0 + 211 + 21 + 210 + 1 + 0 + 221 = 666.

It is not a de Polignac number, because 202112121010221 - 2⁹ = 202112121009709 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 202112121010194 and 202112121010203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202112121030221) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 113649346 + ... + 115414028.

It is an arithmetic number, because the mean of its divisors is an integer number (12492959791260).

Almost surely, 2^{202112121010221} is an apocalyptic number.

It is an amenable number.

202112121010221 is a deficient number, since it is larger than the sum of its proper divisors (97718913980019).

202112121010221 is a wasteful number, since it uses less digits than its factorization.

202112121010221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2108665 (or 2108662 counting only the distinct ones).

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

Adding to 202112121010221 its reverse (122010121211202), we get a palindrome (324122242221423).

The spelling of 202112121010221 in words is "two hundred two trillion, one hundred twelve billion, one hundred twenty-one million, ten thousand, two hundred twenty-one".