101404142321 has 8 divisors (see below), whose sum is σ = 103610150784. Its totient is φ = 99200153680.

The previous prime is 101404142219. The next prime is 101404142341. The reversal of 101404142321 is 123241404101.

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 101404142321 - 2³⁰ = 100330400497 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101404142341) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 403235 + ... + 604488.

It is an arithmetic number, because the mean of its divisors is an integer number (12951268848).

Almost surely, 2^101404142321 is an apocalyptic number.

It is an amenable number.

101404142321 is a deficient number, since it is larger than the sum of its proper divisors (2206008463).

101404142321 is a wasteful number, since it uses less digits than its factorization.

101404142321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1009911.

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 101404142321 its reverse (123241404101), we get a palindrome (224645546422).

The spelling of 101404142321 in words is "one hundred one billion, four hundred four million, one hundred forty-two thousand, three hundred twenty-one".