9000990990001 has 2 divisors, whose sum is σ = 9000990990002. Its totient is φ = 9000990990000.

The previous prime is 9000990989993. The next prime is 9000990990031. The reversal of 9000990990001 is 1000990990009.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8271094154401 + 729896835600 = 2875951^2 + 854340^2 .

It is a cyclic number.

It is not a de Polignac number, because 9000990990001 - 2³ = 9000990989993 is a prime.

It is not a weakly prime, because it can be changed into another prime (9000990990031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4500495495000 + 4500495495001.

It is an arithmetic number, because the mean of its divisors is an integer number (4500495495001).

Almost surely, 2^{9000990990001} is an apocalyptic number.

It is an amenable number.

9000990990001 is a deficient number, since it is larger than the sum of its proper divisors (1).

9000990990001 is an equidigital number, since it uses as much as digits as its factorization.

9000990990001 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 9000990990001 in words is "nine trillion, nine hundred ninety million, nine hundred ninety thousand, one".