102033102321 has 12 divisors (see below), whose sum is σ = 147390368580. Its totient is φ = 68017812480.

The previous prime is 102033102317. The next prime is 102033102323. The reversal of 102033102321 is 123201330201.

102033102321 is a `hidden beast` number, since 10 + 2 + 0 + 331 + 0 + 2 + 321 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12114084096 + 89919018225 = 110064^2 + 299865^2 .

It is not a de Polignac number, because 102033102321 - 2² = 102033102317 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102033102294 and 102033102303.

It is not an unprimeable number, because it can be changed into a prime (102033102323) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 199216 + ... + 493713.

It is an arithmetic number, because the mean of its divisors is an integer number (12282530715).

Almost surely, 2^102033102321 is an apocalyptic number.

It is an amenable number.

102033102321 is a deficient number, since it is larger than the sum of its proper divisors (45357266259).

102033102321 is a wasteful number, since it uses less digits than its factorization.

102033102321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 709296 (or 709293 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 102033102321 its reverse (123201330201), we get a palindrome (225234432522).

The spelling of 102033102321 in words is "one hundred two billion, thirty-three million, one hundred two thousand, three hundred twenty-one".