102002055205 has 16 divisors (see below), whose sum is σ = 125500428144. Its totient is φ = 79539909120.

The previous prime is 102002055191. The next prime is 102002055209. The reversal of 102002055205 is 502550200201.

It can be written as a sum of positive squares in 8 ways, for example, as 19721427489 + 82280627716 = 140433^2 + 286846^2 .

It is not a de Polignac number, because 102002055205 - 2²³ = 101993666597 is a prime.

It is a super-3 number, since 3×102002055205³ (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102002055209) 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 15 ways as a sum of consecutive naturals, for example, 6259 + ... + 451711.

It is an arithmetic number, because the mean of its divisors is an integer number (7843776759).

Almost surely, 2^102002055205 is an apocalyptic number.

It is an amenable number.

102002055205 is a deficient number, since it is larger than the sum of its proper divisors (23498372939).

102002055205 is a wasteful number, since it uses less digits than its factorization.

102002055205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446616.

The product of its (nonzero) digits is 1000, while the sum is 22.

Adding to 102002055205 its reverse (502550200201), we get a palindrome (604552255406).

The spelling of 102002055205 in words is "one hundred two billion, two million, fifty-five thousand, two hundred five".