102400213321 has 16 divisors (see below), whose sum is σ = 122749042176. Its totient is φ = 83582387136.

The previous prime is 102400213313. The next prime is 102400213327. The reversal of 102400213321 is 123312004201.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 102400213321 - 2³ = 102400213313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102400213327) 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 15 ways as a sum of consecutive naturals, for example, 4193866 + ... + 4218211.

It is an arithmetic number, because the mean of its divisors is an integer number (7671815136).

Almost surely, 2^102400213321 is an apocalyptic number.

It is an amenable number.

102400213321 is a deficient number, since it is larger than the sum of its proper divisors (20348828855).

102400213321 is an equidigital number, since it uses as much as digits as its factorization.

102400213321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8412168.

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 102400213321 its reverse (123312004201), we get a palindrome (225712217522).

The spelling of 102400213321 in words is "one hundred two billion, four hundred million, two hundred thirteen thousand, three hundred twenty-one".