101110985065728 has 216 divisors, whose sum is σ = 318044428324896. Its totient is φ = 30638344089600.

The previous prime is 101110985065693. The next prime is 101110985065757. The reversal of 101110985065728 is 827560589011101.

101110985065728 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 10 + 9 + 8 + 50 + 6 + 572 + 8 = 666.

It is a congruent number.

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, 679677051 + ... + 679825797.

Almost surely, 2^{101110985065728} is an apocalyptic number.

101110985065728 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 101110985065728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159022214162448).

101110985065728 is an abundant number, since it is smaller than the sum of its proper divisors (216933443259168).

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

101110985065728 is a wasteful number, since it uses less digits than its factorization.

101110985065728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175601 (or 175584 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 54.

The spelling of 101110985065728 in words is "one hundred one trillion, one hundred ten billion, nine hundred eighty-five million, sixty-five thousand, seven hundred twenty-eight".