101143281509760 has 768 divisors, whose sum is σ = 376564251559680. Its totient is φ = 23024100556800.

The previous prime is 101143281509723. The next prime is 101143281509807. The reversal of 101143281509760 is 67905182341101.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25729654995 + ... + 25729658925.

It is an arithmetic number, because the mean of its divisors is an integer number (490318035885).

It is a 1-persistent number, because it is pandigital, but 2⋅101143281509760 = 202286563019520 is not.

Almost surely, 2^{101143281509760} is an apocalyptic number.

101143281509760 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 101143281509760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188282125779840).

101143281509760 is an abundant number, since it is smaller than the sum of its proper divisors (275420970049920).

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

101143281509760 is a wasteful number, since it uses less digits than its factorization.

101143281509760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5015 (or 4996 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 48.

The spelling of 101143281509760 in words is "one hundred one trillion, one hundred forty-three billion, two hundred eighty-one million, five hundred nine thousand, seven hundred sixty".