102242102225116 has 48 divisors (see below), whose sum is σ = 207562705443072. Its totient is φ = 43158532032000.

The previous prime is 102242102225051. The next prime is 102242102225149. The reversal of 102242102225116 is 611522201242201.

It is a super-3 number, since 3×102242102225116³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11234391 + ... + 18185041.

It is an arithmetic number, because the mean of its divisors is an integer number (4324223030064).

Almost surely, 2^{102242102225116} is an apocalyptic number.

It is an amenable number.

102242102225116 is an abundant number, since it is smaller than the sum of its proper divisors (105320603217956).

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

102242102225116 is a wasteful number, since it uses less digits than its factorization.

102242102225116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6958570 (or 6958568 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

Adding to 102242102225116 its reverse (611522201242201), we get a palindrome (713764303467317).

The spelling of 102242102225116 in words is "one hundred two trillion, two hundred forty-two billion, one hundred two million, two hundred twenty-five thousand, one hundred sixteen".