205242102022302 has 48 divisors (see below), whose sum is σ = 460125346814640. Its totient is φ = 66040578205056.

The previous prime is 205242102022267. The next prime is 205242102022303. The reversal of 205242102022302 is 203220201242502.

It is a happy number.

205242102022302 is a `hidden beast` number, since 2 + 0 + 5 + 2 + 421 + 0 + 2 + 0 + 2 + 230 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205242102022303) 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 23 ways as a sum of consecutive naturals, for example, 40306783 + ... + 45112314.

It is an arithmetic number, because the mean of its divisors is an integer number (9585944725305).

Almost surely, 2^{205242102022302} is an apocalyptic number.

205242102022302 is an abundant number, since it is smaller than the sum of its proper divisors (254883244792338).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

205242102022302 is a wasteful number, since it uses less digits than its factorization.

205242102022302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85423737 (or 85423734 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 205242102022302 its reverse (203220201242502), we get a palindrome (408462303264804).

The spelling of 205242102022302 in words is "two hundred five trillion, two hundred forty-two billion, one hundred two million, twenty-two thousand, three hundred two".