1009091910041 has 2 divisors, whose sum is σ = 1009091910042. Its totient is φ = 1009091910040.

The previous prime is 1009091910007. The next prime is 1009091910103. The reversal of 1009091910041 is 1400191909001.

It is a happy number.

1009091910041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 641607408016 + 367484502025 = 801004^2 + 606205^2 .

It is a cyclic number.

It is not a de Polignac number, because 1009091910041 - 2³⁸ = 734214003097 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1009091909983 and 1009091910010.

It is not a weakly prime, because it can be changed into another prime (1009091510041) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 504545955020 + 504545955021.

It is an arithmetic number, because the mean of its divisors is an integer number (504545955021).

Almost surely, 2^{1009091910041} is an apocalyptic number.

It is an amenable number.

1009091910041 is a deficient number, since it is larger than the sum of its proper divisors (1).

1009091910041 is an equidigital number, since it uses as much as digits as its factorization.

1009091910041 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2916, while the sum is 35.

The spelling of 1009091910041 in words is "one trillion, nine billion, ninety-one million, nine hundred ten thousand, forty-one".