9901101000001 has 2 divisors, whose sum is σ = 9901101000002. Its totient is φ = 9901101000000.

The previous prime is 9901100999953. The next prime is 9901101000053. The reversal of 9901101000001 is 1000001011099.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5819307080976 + 4081793919025 = 2412324^2 + 2020345^2 .

It is a cyclic number.

It is not a de Polignac number, because 9901101000001 - 2⁷ = 9901100999873 is a prime.

It is not a weakly prime, because it can be changed into another prime (9901101070001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4950550500000 + 4950550500001.

It is an arithmetic number, because the mean of its divisors is an integer number (4950550500001).

Almost surely, 2^{9901101000001} is an apocalyptic number.

It is an amenable number.

9901101000001 is a deficient number, since it is larger than the sum of its proper divisors (1).

9901101000001 is an equidigital number, since it uses as much as digits as its factorization.

9901101000001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 81, while the sum is 22.

The spelling of 9901101000001 in words is "nine trillion, nine hundred one billion, one hundred one million, one", and thus it is an aban number.