101286187128 has 256 divisors, whose sum is σ = 330656256000. Its totient is φ = 28124236800.

The previous prime is 101286187109. The next prime is 101286187133. The reversal of 101286187128 is 821781682101.

101286187128 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 8 + 618 + 7 + 1 + 28 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16796818 + ... + 16802846.

It is an arithmetic number, because the mean of its divisors is an integer number (1291626000).

Almost surely, 2^101286187128 is an apocalyptic number.

101286187128 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 101286187128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165328128000).

101286187128 is an abundant number, since it is smaller than the sum of its proper divisors (229370068872).

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

101286187128 is a wasteful number, since it uses less digits than its factorization.

101286187128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6363 (or 6353 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 45.

The spelling of 101286187128 in words is "one hundred one billion, two hundred eighty-six million, one hundred eighty-seven thousand, one hundred twenty-eight".