102132333000321 has 32 divisors (see below), whose sum is σ = 150708838441728. Its totient is φ = 61113944897280.

The previous prime is 102132333000301. The next prime is 102132333000349. The reversal of 102132333000321 is 123000333231201.

It is not a de Polignac number, because 102132333000321 - 2³⁴ = 102115153131137 is a prime.

It is a super-2 number, since 2×102132333000321² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102132333000291 and 102132333000300.

It is not an unprimeable number, because it can be changed into a prime (102132333000301) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19702810 + ... + 24340611.

It is an arithmetic number, because the mean of its divisors is an integer number (4709651201304).

Almost surely, 2^{102132333000321} is an apocalyptic number.

It is an amenable number.

102132333000321 is a deficient number, since it is larger than the sum of its proper divisors (48576505441407).

102132333000321 is a wasteful number, since it uses less digits than its factorization.

102132333000321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44045081.

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 102132333000321 its reverse (123000333231201), we get a palindrome (225132666231522).

The spelling of 102132333000321 in words is "one hundred two trillion, one hundred thirty-two billion, three hundred thirty-three million, three hundred twenty-one", and thus it is an aban number.