101208128814 has 96 divisors (see below), whose sum is σ = 250150197024. Its totient is φ = 29296650240.

The previous prime is 101208128789. The next prime is 101208128869. The reversal of 101208128814 is 418821802101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13652769 + ... + 13660179.

It is an arithmetic number, because the mean of its divisors is an integer number (2605731219).

Almost surely, 2^101208128814 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101208128814, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125075098512).

101208128814 is an abundant number, since it is smaller than the sum of its proper divisors (148942068210).

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

101208128814 is a wasteful number, since it uses less digits than its factorization.

101208128814 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10882 (or 10879 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 36.

The spelling of 101208128814 in words is "one hundred one billion, two hundred eight million, one hundred twenty-eight thousand, eight hundred fourteen".