101354321 has 2 divisors, whose sum is σ = 101354322. Its totient is φ = 101354320.

The previous prime is 101354293. The next prime is 101354327. The reversal of 101354321 is 123453101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 101284096 + 70225 = 10064^2 + 265^2 .

It is a cyclic number.

It is not a de Polignac number, because 101354321 - 2¹⁰ = 101353297 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 101354293 and 101354302.

It is not a weakly prime, because it can be changed into another prime (101354327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50677160 + 50677161.

It is an arithmetic number, because the mean of its divisors is an integer number (50677161).

Almost surely, 2^101354321 is an apocalyptic number.

It is an amenable number.

101354321 is a deficient number, since it is larger than the sum of its proper divisors (1).

101354321 is an equidigital number, since it uses as much as digits as its factorization.

101354321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 101354321 is about 10067.4883163578. The cubic root of 101354321 is about 466.2448948258.

The spelling of 101354321 in words is "one hundred one million, three hundred fifty-four thousand, three hundred twenty-one".