101344111024 has 120 divisors (see below), whose sum is σ = 217928884992. Its totient is φ = 45620340480.

The previous prime is 101344110997. The next prime is 101344111027. The reversal of 101344111024 is 420111443101.

It is a junction number, because it is equal to n+sod(n) for n = 101344110986 and 101344111004.

It is not an unprimeable number, because it can be changed into a prime (101344111027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18657589 + ... + 18663019.

Almost surely, 2^101344111024 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 101344111024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108964442496).

101344111024 is an abundant number, since it is smaller than the sum of its proper divisors (116584773968).

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

101344111024 is a wasteful number, since it uses less digits than its factorization.

101344111024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5635 (or 5616 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 101344111024 its reverse (420111443101), we get a palindrome (521455554125).

The spelling of 101344111024 in words is "one hundred one billion, three hundred forty-four million, one hundred eleven thousand, twenty-four".