101341285568 has 224 divisors, whose sum is σ = 226755594240. Its totient is φ = 44730040320.

The previous prime is 101341285561. The next prime is 101341285571. The reversal of 101341285568 is 865582143101.

101341285568 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (101341285561) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 157606655 + ... + 157607297.

It is an arithmetic number, because the mean of its divisors is an integer number (1012301760).

Almost surely, 2^101341285568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101341285568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113377797120).

101341285568 is an abundant number, since it is smaller than the sum of its proper divisors (125414308672).

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

101341285568 is a wasteful number, since it uses less digits than its factorization.

101341285568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 855 (or 845 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 44.

The spelling of 101341285568 in words is "one hundred one billion, three hundred forty-one million, two hundred eighty-five thousand, five hundred sixty-eight".