101000101009 has 2 divisors, whose sum is σ = 101000101010. Its totient is φ = 101000101008.

The previous prime is 101000101001. The next prime is 101000101031. The reversal of 101000101009 is 900101000101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 55741793409 + 45258307600 = 236097^2 + 212740^2 .

It is a cyclic number.

It is not a de Polignac number, because 101000101009 - 2³ = 101000101001 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101000101009.

It is not a weakly prime, because it can be changed into another prime (101000101001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50500050504 + 50500050505.

It is an arithmetic number, because the mean of its divisors is an integer number (50500050505).

Almost surely, 2^101000101009 is an apocalyptic number.

It is an amenable number.

101000101009 is a deficient number, since it is larger than the sum of its proper divisors (1).

101000101009 is an equidigital number, since it uses as much as digits as its factorization.

101000101009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9, while the sum is 13.

The spelling of 101000101009 in words is "one hundred one billion, one hundred one thousand, nine".