101321021 has 2 divisors, whose sum is σ = 101321022. Its totient is φ = 101321020.

The previous prime is 101320991. The next prime is 101321023. The reversal of 101321021 is 120123101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 70795396 + 30525625 = 8414^2 + 5525^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101321021 is a prime.

Together with 101321023, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 101320993 and 101321011.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101321023) 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, 50660510 + 50660511.

It is an arithmetic number, because the mean of its divisors is an integer number (50660511).

Almost surely, 2^101321021 is an apocalyptic number.

It is an amenable number.

101321021 is a deficient number, since it is larger than the sum of its proper divisors (1).

101321021 is an equidigital number, since it uses as much as digits as its factorization.

101321021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 101321021 is about 10065.8343419709. The cubic root of 101321021 is about 466.1938275880.

Adding to 101321021 its reverse (120123101), we get a palindrome (221444122).

The spelling of 101321021 in words is "one hundred one million, three hundred twenty-one thousand, twenty-one".