9901011011001 has 12 divisors (see below), whose sum is σ = 14510572611696. Its totient is φ = 6000612733720.

The previous prime is 9901011010981. The next prime is 9901011011069. The reversal of 9901011011001 is 1001101101099.

It is not a de Polignac number, because 9901011011001 - 2²⁷ = 9900876793273 is a prime.

It is not an unprimeable number, because it can be changed into a prime (9901011011071) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13637755851 + ... + 13637756576.

It is an arithmetic number, because the mean of its divisors is an integer number (1209214384308).

Almost surely, 2^{9901011011001} is an apocalyptic number.

It is an amenable number.

9901011011001 is a deficient number, since it is larger than the sum of its proper divisors (4609561600695).

9901011011001 is a wasteful number, since it uses less digits than its factorization.

9901011011001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27275512452 (or 27275512441 counting only the distinct ones).

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

The spelling of 9901011011001 in words is "nine trillion, nine hundred one billion, eleven million, eleven thousand, one".