101344112401 has 8 divisors (see below), whose sum is σ = 115922479104. Its totient is φ = 86790904800.

The previous prime is 101344112371. The next prime is 101344112497. The reversal of 101344112401 is 104211443101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101344112401 - 2⁹ = 101344111889 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101344112201) 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, 6281140 + ... + 6297253.

It is an arithmetic number, because the mean of its divisors is an integer number (14490309888).

Almost surely, 2^101344112401 is an apocalyptic number.

It is an amenable number.

101344112401 is a deficient number, since it is larger than the sum of its proper divisors (14578366703).

101344112401 is a wasteful number, since it uses less digits than its factorization.

101344112401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12579551.

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

Adding to 101344112401 its reverse (104211443101), we get a palindrome (205555555502).

The spelling of 101344112401 in words is "one hundred one billion, three hundred forty-four million, one hundred twelve thousand, four hundred one".