101821841568 has 144 divisors (see below), whose sum is σ = 299727267840. Its totient is φ = 32762838528.

The previous prime is 101821841543. The next prime is 101821841587. The reversal of 101821841568 is 865148128101.

101821841568 is a `hidden beast` number, since 1 + 0 + 1 + 8 + 2 + 1 + 84 + 1 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1315693 + ... + 1390931.

It is an arithmetic number, because the mean of its divisors is an integer number (2081439360).

Almost surely, 2^101821841568 is an apocalyptic number.

101821841568 is a gapful number since it is divisible by the number (18) 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 101821841568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149863633920).

101821841568 is an abundant number, since it is smaller than the sum of its proper divisors (197905426272).

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

101821841568 is a wasteful number, since it uses less digits than its factorization.

101821841568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75419 (or 75408 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 45.

Adding to 101821841568 its reverse (865148128101), we get a palindrome (966969969669).

The spelling of 101821841568 in words is "one hundred one billion, eight hundred twenty-one million, eight hundred forty-one thousand, five hundred sixty-eight".