102149321 has 2 divisors, whose sum is σ = 102149322. Its totient is φ = 102149320.

The previous prime is 102149273. The next prime is 102149351. The reversal of 102149321 is 123941201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100721296 + 1428025 = 10036^2 + 1195^2 .

It is an emirp because it is prime and its reverse (123941201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 102149321 - 2¹⁴ = 102132937 is a prime.

It is a super-2 number, since 2×102149321² = 20868967561522082, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (102149351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51074660 + 51074661.

It is an arithmetic number, because the mean of its divisors is an integer number (51074661).

Almost surely, 2^102149321 is an apocalyptic number.

It is an amenable number.

102149321 is a deficient number, since it is larger than the sum of its proper divisors (1).

102149321 is an equidigital number, since it uses as much as digits as its factorization.

102149321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 102149321 is about 10106.8947258790. The cubic root of 102149321 is about 467.4607606213.

The spelling of 102149321 in words is "one hundred two million, one hundred forty-nine thousand, three hundred twenty-one".