101100031009 has 2 divisors, whose sum is σ = 101100031010. Its totient is φ = 101100031008.

The previous prime is 101100031003. The next prime is 101100031037. The reversal of 101100031009 is 900130001101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 76782747409 + 24317283600 = 277097^2 + 155940^2 .

It is a cyclic number.

It is not a de Polignac number, because 101100031009 - 2³ = 101100031001 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101100030983 and 101100031001.

It is not a weakly prime, because it can be changed into another prime (101100031001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50550015504 + 50550015505.

It is an arithmetic number, because the mean of its divisors is an integer number (50550015505).

Almost surely, 2^101100031009 is an apocalyptic number.

It is an amenable number.

101100031009 is a deficient number, since it is larger than the sum of its proper divisors (1).

101100031009 is an equidigital number, since it uses as much as digits as its factorization.

101100031009 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 16.

The spelling of 101100031009 in words is "one hundred one billion, one hundred million, thirty-one thousand, nine".