9009900099001 has 2 divisors, whose sum is σ = 9009900099002. Its totient is φ = 9009900099000.

The previous prime is 9009900098977. The next prime is 9009900099017. The reversal of 9009900099001 is 1009900099009.

9009900099001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6820976890000 + 2188923209001 = 2611700^2 + 1479501^2 .

It is a cyclic number.

It is not a de Polignac number, because 9009900099001 - 2⁷ = 9009900098873 is a prime.

It is not a weakly prime, because it can be changed into another prime (9009900091001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4504950049500 + 4504950049501.

It is an arithmetic number, because the mean of its divisors is an integer number (4504950049501).

Almost surely, 2^{9009900099001} is an apocalyptic number.

It is an amenable number.

9009900099001 is a deficient number, since it is larger than the sum of its proper divisors (1).

9009900099001 is an equidigital number, since it uses as much as digits as its factorization.

9009900099001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 59049, while the sum is 46.

The spelling of 9009900099001 in words is "nine trillion, nine billion, nine hundred million, ninety-nine thousand, one".