101003009 has 2 divisors, whose sum is σ = 101003010. Its totient is φ = 101003008.

The previous prime is 101002981. The next prime is 101003029. The reversal of 101003009 is 900300101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100560784 + 442225 = 10028^2 + 665^2 .

It is a cyclic number.

It is not a de Polignac number, because 101003009 - 2¹² = 100998913 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 101002984 and 101003002.

It is not a weakly prime, because it can be changed into another prime (101003029) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50501504 + 50501505.

It is an arithmetic number, because the mean of its divisors is an integer number (50501505).

Almost surely, 2^101003009 is an apocalyptic number.

It is an amenable number.

101003009 is a deficient number, since it is larger than the sum of its proper divisors (1).

101003009 is an equidigital number, since it uses as much as digits as its factorization.

101003009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 27, while the sum is 14.

The square root of 101003009 is about 10050.0253233512. The cubic root of 101003009 is about 465.7055754677.

The spelling of 101003009 in words is "one hundred one million, three thousand, nine".