102202612500 has 144 divisors (see below), whose sum is σ = 299178351360. Its totient is φ = 27152880000.

The previous prime is 102202612483. The next prime is 102202612507. The reversal of 102202612500 is 5216202201.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102202612507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10382581 + ... + 10392419.

It is an arithmetic number, because the mean of its divisors is an integer number (2077627440).

Almost surely, 2^102202612500 is an apocalyptic number.

102202612500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102202612500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149589175680).

102202612500 is an abundant number, since it is smaller than the sum of its proper divisors (196975738860).

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

102202612500 is an equidigital number, since it uses as much as digits as its factorization.

102202612500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10148 (or 10126 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

Adding to 102202612500 its reverse (5216202201), we get a palindrome (107418814701).

The spelling of 102202612500 in words is "one hundred two billion, two hundred two million, six hundred twelve thousand, five hundred".