202201221011193 has 6 divisors (see below), whose sum is σ = 292068430349514. Its totient is φ = 134800814007456.

The previous prime is 202201221011171. The next prime is 202201221011221. The reversal of 202201221011193 is 391110122102202.

202201221011193 is a `hidden beast` number, since 20 + 220 + 1 + 221 + 0 + 11 + 193 = 666.

It can be written as a sum of positive squares in only one way, i.e., 195714867774969 + 6486353236224 = 13989813^2 + 2546832^2 .

It is not a de Polignac number, because 202201221011193 - 2⁵ = 202201221011161 is a prime.

It is not an unprimeable number, because it can be changed into a prime (202201221011593) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11233401167280 + ... + 11233401167297.

It is an arithmetic number, because the mean of its divisors is an integer number (48678071724919).

Almost surely, 2^{202201221011193} is an apocalyptic number.

It is an amenable number.

202201221011193 is a deficient number, since it is larger than the sum of its proper divisors (89867209338321).

202201221011193 is a wasteful number, since it uses less digits than its factorization.

202201221011193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22466802334583 (or 22466802334580 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

Adding to 202201221011193 its reverse (391110122102202), we get a palindrome (593311343113395).

The spelling of 202201221011193 in words is "two hundred two trillion, two hundred one billion, two hundred twenty-one million, eleven thousand, one hundred ninety-three".