102217312462848 has 192 divisors, whose sum is σ = 307538133739200. Its totient is φ = 29906841108480.

The previous prime is 102217312462843. The next prime is 102217312462871. The reversal of 102217312462848 is 848264213712201.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×102217312462848² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 102217312462848.

It is not an unprimeable number, because it can be changed into a prime (102217312462843) 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, 24116761 + ... + 28036632.

It is an arithmetic number, because the mean of its divisors is an integer number (1601761113225).

Almost surely, 2^{102217312462848} is an apocalyptic number.

It is an amenable number.

102217312462848 is an abundant number, since it is smaller than the sum of its proper divisors (205320821276352).

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

102217312462848 is a wasteful number, since it uses less digits than its factorization.

102217312462848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52153458 (or 52153438 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 51.

The spelling of 102217312462848 in words is "one hundred two trillion, two hundred seventeen billion, three hundred twelve million, four hundred sixty-two thousand, eight hundred forty-eight".