102866668243200 has 864 divisors, whose sum is σ = 382751103750400. Its totient is φ = 27366991257600.

The previous prime is 102866668243187. The next prime is 102866668243291. The reversal of 102866668243200 is 2342866668201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6144586830 + ... + 6144603570.

Almost surely, 2^{102866668243200} is an apocalyptic number.

102866668243200 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 102866668243200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191375551875200).

102866668243200 is an abundant number, since it is smaller than the sum of its proper divisors (279884435507200).

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

102866668243200 is an frugal number, since it uses more digits than its factorization.

102866668243200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17227 (or 17190 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 102866668243200 in words is "one hundred two trillion, eight hundred sixty-six billion, six hundred sixty-eight million, two hundred forty-three thousand, two hundred".