102217371993984 has 256 divisors, whose sum is σ = 293982424545600. Its totient is φ = 31281433804800.

The previous prime is 102217371993983. The next prime is 102217371994027. The reversal of 102217371993984 is 489399173712201.

It is a super-2 number, since 2×102217371993984² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102217371993983) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5588999112 + ... + 5589017400.

Almost surely, 2^{102217371993984} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102217371993984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146991212272800).

102217371993984 is an abundant number, since it is smaller than the sum of its proper divisors (191765052551616).

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

102217371993984 is a wasteful number, since it uses less digits than its factorization.

102217371993984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24313 (or 24301 counting only the distinct ones).

The product of its (nonzero) digits is 41150592, while the sum is 66.

The spelling of 102217371993984 in words is "one hundred two trillion, two hundred seventeen billion, three hundred seventy-one million, nine hundred ninety-three thousand, nine hundred eighty-four".