20212102112193 has 12 divisors (see below), whose sum is σ = 29484320574228. Its totient is φ = 13341321525600.

The previous prime is 20212102112161. The next prime is 20212102112197. The reversal of 20212102112193 is 39121120121202.

20212102112193 is a `hidden beast` number, since 2 + 0 + 21 + 210 + 211 + 219 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 17608035693249 + 2604066418944 = 4196193^2 + 1613712^2 .

It is not a de Polignac number, because 20212102112193 - 2⁵ = 20212102112161 is a prime.

It is not an unprimeable number, because it can be changed into a prime (20212102112197) 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 11 ways as a sum of consecutive naturals, for example, 11117767030 + ... + 11117768847.

It is an arithmetic number, because the mean of its divisors is an integer number (2457026714519).

Almost surely, 2^{20212102112193} is an apocalyptic number.

It is an amenable number.

20212102112193 is a deficient number, since it is larger than the sum of its proper divisors (9272218462035).

20212102112193 is a wasteful number, since it uses less digits than its factorization.

20212102112193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22235535984 (or 22235535981 counting only the distinct ones).

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

Adding to 20212102112193 its reverse (39121120121202), we get a palindrome (59333222233395).

The spelling of 20212102112193 in words is "twenty trillion, two hundred twelve billion, one hundred two million, one hundred twelve thousand, one hundred ninety-three".