101350335144 has 64 divisors (see below), whose sum is σ = 257807874240. Its totient is φ = 33193704960.

The previous prime is 101350335137. The next prime is 101350335187. The reversal of 101350335144 is 441533053101.

It is a super-2 number, since 2×101350335144² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1334827 + ... + 1408709.

It is an arithmetic number, because the mean of its divisors is an integer number (4028248035).

Almost surely, 2^101350335144 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 101350335144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128903937120).

101350335144 is an abundant number, since it is smaller than the sum of its proper divisors (156457539096).

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

101350335144 is a wasteful number, since it uses less digits than its factorization.

101350335144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74890 (or 74886 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

Adding to 101350335144 its reverse (441533053101), we get a palindrome (542883388245).

The spelling of 101350335144 in words is "one hundred one billion, three hundred fifty million, three hundred thirty-five thousand, one hundred forty-four".