101065066137750 has 1024 divisors, whose sum is σ = 316618873159680. Its totient is φ = 21107036160000.

The previous prime is 101065066137709. The next prime is 101065066137799. The reversal of 101065066137750 is 57731660560101.

It is a self number, because there is not a number n which added to its sum of digits gives 101065066137750.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 83044425142 + ... + 83044426358.

It is an arithmetic number, because the mean of its divisors is an integer number (309198118320).

Almost surely, 2^{101065066137750} is an apocalyptic number.

101065066137750 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101065066137750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158309436579840).

101065066137750 is an abundant number, since it is smaller than the sum of its proper divisors (215553807021930).

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

101065066137750 is a wasteful number, since it uses less digits than its factorization.

101065066137750 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1854 (or 1844 counting only the distinct ones).

The product of its (nonzero) digits is 793800, while the sum is 48.

The spelling of 101065066137750 in words is "one hundred one trillion, sixty-five billion, sixty-six million, one hundred thirty-seven thousand, seven hundred fifty".