101240021568 has 224 divisors, whose sum is σ = 311949388800. Its totient is φ = 28380764160.

The previous prime is 101240021567. The next prime is 101240021599. The reversal of 101240021568 is 865120042101.

It is a tau number, because it is divible by the number of its divisors (224).

It is not an unprimeable number, because it can be changed into a prime (101240021567) 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, 16618203 + ... + 16624293.

It is an arithmetic number, because the mean of its divisors is an integer number (1392631200).

Almost surely, 2^101240021568 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 101240021568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155974694400).

101240021568 is an abundant number, since it is smaller than the sum of its proper divisors (210709367232).

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

101240021568 is a wasteful number, since it uses less digits than its factorization.

101240021568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6345 (or 6335 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

Adding to 101240021568 its reverse (865120042101), we get a palindrome (966360063669).

The spelling of 101240021568 in words is "one hundred one billion, two hundred forty million, twenty-one thousand, five hundred sixty-eight".