101942127565824 has 1056 divisors, whose sum is σ = 350954085738816. Its totient is φ = 26059792711680.

The previous prime is 101942127565823. The next prime is 101942127565841. The reversal of 101942127565824 is 428565721249101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101942127565823) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12596329522 + ... + 12596337614.

Almost surely, 2^{101942127565824} is an apocalyptic number.

101942127565824 is a gapful number since it is divisible by the number (14) 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 101942127565824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175477042869408).

101942127565824 is an abundant number, since it is smaller than the sum of its proper divisors (249011958172992).

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

101942127565824 is a wasteful number, since it uses less digits than its factorization.

101942127565824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8341 (or 8316 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 57.

The spelling of 101942127565824 in words is "one hundred one trillion, nine hundred forty-two billion, one hundred twenty-seven million, five hundred sixty-five thousand, eight hundred twenty-four".