9901000011111 has 64 divisors (see below), whose sum is σ = 14621678400000. Its totient is φ = 5909527756800.

The previous prime is 9901000011059. The next prime is 9901000011121. The reversal of 9901000011111 is 1111100001099.

It is not a de Polignac number, because 9901000011111 - 2¹⁴ = 9900999994727 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9901000011121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 557448471 + ... + 557466231.

It is an arithmetic number, because the mean of its divisors is an integer number (228463725000).

Almost surely, 2^{9901000011111} is an apocalyptic number.

9901000011111 is a deficient number, since it is larger than the sum of its proper divisors (4720678388889).

9901000011111 is a wasteful number, since it uses less digits than its factorization.

9901000011111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18720.

The product of its (nonzero) digits is 81, while the sum is 24.

The spelling of 9901000011111 in words is "nine trillion, nine hundred one billion, eleven thousand, one hundred eleven".