102400404321 has 8 divisors (see below), whose sum is σ = 137065133664. Its totient is φ = 68001305600.

The previous prime is 102400404277. The next prime is 102400404343. The reversal of 102400404321 is 123404004201.

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 102400404321 - 2⁷ = 102400404193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102400404721) 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, 66406755 + ... + 66408296.

It is an arithmetic number, because the mean of its divisors is an integer number (17133141708).

Almost surely, 2^102400404321 is an apocalyptic number.

It is an amenable number.

102400404321 is a deficient number, since it is larger than the sum of its proper divisors (34664729343).

102400404321 is a wasteful number, since it uses less digits than its factorization.

102400404321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132815311.

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 102400404321 its reverse (123404004201), we get a palindrome (225804408522).

The spelling of 102400404321 in words is "one hundred two billion, four hundred million, four hundred four thousand, three hundred twenty-one".