1005101 has 2 divisors, whose sum is σ = 1005102. Its totient is φ = 1005100.

The previous prime is 1005079. The next prime is 1005107. The reversal of 1005101 is 1015001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 724201 + 280900 = 851^2 + 530^2 .

It is a cyclic number.

It is not a de Polignac number, because 1005101 - 2¹⁰ = 1004077 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1005107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 502550 + 502551.

It is an arithmetic number, because the mean of its divisors is an integer number (502551).

2^1005101 is an apocalyptic number.

It is an amenable number.

1005101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005101 is an equidigital number, since it uses as much as digits as its factorization.

1005101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5, while the sum is 8.

The square root of 1005101 is about 1002.5472557441. The cubic root of 1005101 is about 100.1697450365.

The spelling of 1005101 in words is "one million, five thousand, one hundred one".