101344112144 has 40 divisors (see below), whose sum is σ = 217835209440. Its totient is φ = 45284729600.

The previous prime is 101344112119. The next prime is 101344112147. The reversal of 101344112144 is 441211443101.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (101344112147) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4869437 + ... + 4890204.

It is an arithmetic number, because the mean of its divisors is an integer number (5445880236).

Almost surely, 2^101344112144 is an apocalyptic number.

It is an amenable number.

101344112144 is an abundant number, since it is smaller than the sum of its proper divisors (116491097296).

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

101344112144 is a wasteful number, since it uses less digits than its factorization.

101344112144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9759719 (or 9759713 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

Adding to 101344112144 its reverse (441211443101), we get a palindrome (542555555245).

The spelling of 101344112144 in words is "one hundred one billion, three hundred forty-four million, one hundred twelve thousand, one hundred forty-four".