9891121001 has 8 divisors (see below), whose sum is σ = 10103364480. Its totient is φ = 9678952368.

The previous prime is 9891120959. The next prime is 9891121007. The reversal of 9891121001 is 1001211989.

9891121001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 9891121001 - 2¹⁰ = 9891119977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9891121007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 309395 + ... + 339863.

It is an arithmetic number, because the mean of its divisors is an integer number (1262920560).

Almost surely, 2^9891121001 is an apocalyptic number.

It is an amenable number.

9891121001 is a deficient number, since it is larger than the sum of its proper divisors (212243479).

9891121001 is a wasteful number, since it uses less digits than its factorization.

9891121001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37423.

The product of its (nonzero) digits is 1296, while the sum is 32.

The square root of 9891121001 is about 99454.1150531239. The cubic root of 9891121001 is about 2146.5870495523.

The spelling of 9891121001 in words is "nine billion, eight hundred ninety-one million, one hundred twenty-one thousand, one".