101312041535760 has 320 divisors, whose sum is σ = 360856666552320. Its totient is φ = 23273088368640.

The previous prime is 101312041535759. The next prime is 101312041535779. The reversal of 101312041535760 is 67535140213101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1299745 + ... + 14293824.

It is an arithmetic number, because the mean of its divisors is an integer number (1127677082976).

Almost surely, 2^{101312041535760} is an apocalyptic number.

101312041535760 is a gapful number since it is divisible by the number (10) 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 101312041535760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180428333276160).

101312041535760 is an abundant number, since it is smaller than the sum of its proper divisors (259544625016560).

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

101312041535760 is a wasteful number, since it uses less digits than its factorization.

101312041535760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15593726 (or 15593720 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 39.

Adding to 101312041535760 its reverse (67535140213101), we get a palindrome (168847181748861).

The spelling of 101312041535760 in words is "one hundred one trillion, three hundred twelve billion, forty-one million, five hundred thirty-five thousand, seven hundred sixty".