101344112400 has 60 divisors (see below), whose sum is σ = 324638977232. Its totient is φ = 27025096320.

The previous prime is 101344112371. The next prime is 101344112497. The reversal of 101344112400 is 4211443101.

It is a tau number, because it is divible by the number of its divisors (60).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 42225514 + ... + 42227913.

Almost surely, 2^101344112400 is an apocalyptic number.

101344112400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101344112400 is an abundant number, since it is smaller than the sum of its proper divisors (223294864832).

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

101344112400 is a wasteful number, since it uses less digits than its factorization.

101344112400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84453448 (or 84453437 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 101344112400 its reverse (4211443101), we get a palindrome (105555555501).

The spelling of 101344112400 in words is "one hundred one billion, three hundred forty-four million, one hundred twelve thousand, four hundred".