102188142551808 has 216 divisors, whose sum is σ = 295047226446336. Its totient is φ = 34014928896000.

The previous prime is 102188142551779. The next prime is 102188142551837. The reversal of 102188142551808 is 808155241881201.

102188142551808 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 8 + 8 + 1 + 4 + 2 + 551 + 80 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (102188142551779) and next prime (102188142551837).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5518602966 + ... + 5518621482.

It is an arithmetic number, because the mean of its divisors is an integer number (1365959381696).

Almost surely, 2^{102188142551808} is an apocalyptic number.

102188142551808 is a gapful number since it is divisible by the number (18) 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 102188142551808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147523613223168).

102188142551808 is an abundant number, since it is smaller than the sum of its proper divisors (192859083894528).

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

102188142551808 is a wasteful number, since it uses less digits than its factorization.

102188142551808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21771 (or 21754 counting only the distinct ones).

The product of its (nonzero) digits is 1638400, while the sum is 54.

The spelling of 102188142551808 in words is "one hundred two trillion, one hundred eighty-eight billion, one hundred forty-two million, five hundred fifty-one thousand, eight hundred eight".