102200240240 has 80 divisors (see below), whose sum is σ = 275613883392. Its totient is φ = 34517083392.

The previous prime is 102200240237. The next prime is 102200240249. The reversal of 102200240240 is 42042002201.

It is a happy number.

102200240240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×102200240240² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102200240249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1324424 + ... + 1399463.

Almost surely, 2^102200240240 is an apocalyptic number.

102200240240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102200240240 is an abundant number, since it is smaller than the sum of its proper divisors (173413643152).

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

102200240240 is a wasteful number, since it uses less digits than its factorization.

102200240240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2723974 (or 2723968 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

Adding to 102200240240 its reverse (42042002201), we get a palindrome (144242242441).

The spelling of 102200240240 in words is "one hundred two billion, two hundred million, two hundred forty thousand, two hundred forty".