10205242112224 has 48 divisors (see below), whose sum is σ = 20125945778400. Its totient is φ = 5093897969664.

The previous prime is 10205242112207. The next prime is 10205242112243. The reversal of 10205242112224 is 42221124250201.

It is a super-2 number, since 2×10205242112224² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10205242112192 and 10205242112201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45964872 + ... + 46186360.

It is an arithmetic number, because the mean of its divisors is an integer number (419290537050).

Almost surely, 2^{10205242112224} is an apocalyptic number.

It is an amenable number.

10205242112224 is a deficient number, since it is larger than the sum of its proper divisors (9920703666176).

10205242112224 is a wasteful number, since it uses less digits than its factorization.

10205242112224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223955 (or 223947 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 28.

Adding to 10205242112224 its reverse (42221124250201), we get a palindrome (52426366362425).

The spelling of 10205242112224 in words is "ten trillion, two hundred five billion, two hundred forty-two million, one hundred twelve thousand, two hundred twenty-four".