101000101000049 has 2 divisors, whose sum is σ = 101000101000050. Its totient is φ = 101000101000048.

The previous prime is 101000100999991. The next prime is 101000101000081. The reversal of 101000101000049 is 940000101000101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100889328519424 + 110772480625 = 10044368^2 + 332825^2 .

It is a cyclic number.

It is not a de Polignac number, because 101000101000049 - 2²⁰ = 101000099951473 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (101000101200049) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50500050500024 + 50500050500025.

It is an arithmetic number, because the mean of its divisors is an integer number (50500050500025).

Almost surely, 2^{101000101000049} is an apocalyptic number.

It is an amenable number.

101000101000049 is a deficient number, since it is larger than the sum of its proper divisors (1).

101000101000049 is an equidigital number, since it uses as much as digits as its factorization.

101000101000049 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 17.

The spelling of 101000101000049 in words is "one hundred one trillion, one hundred one million, forty-nine", and thus it is an aban number.