9991010101 has 8 divisors (see below), whose sum is σ = 10214075520. Its totient is φ = 9768381888.

The previous prime is 9991010083. The next prime is 9991010129. The reversal of 9991010101 is 1010101999.

9991010101 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 9991010101 - 2¹⁷ = 9990879029 is a prime.

It is a Duffinian number.

9991010101 is a modest number, since divided by 10101 gives 9991 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9991010191) 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, 62871 + ... + 154708.

It is an arithmetic number, because the mean of its divisors is an integer number (1276759440).

Almost surely, 2^9991010101 is an apocalyptic number.

It is an amenable number.

9991010101 is a deficient number, since it is larger than the sum of its proper divisors (223065419).

9991010101 is a wasteful number, since it uses less digits than its factorization.

9991010101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218603.

The product of its (nonzero) digits is 729, while the sum is 31.

The square root of 9991010101 is about 99955.0403981710. The cubic root of 9991010101 is about 2153.7888914622.

It can be divided in two parts, 99910 and 10101, that added together give a palindrome (110011).

The spelling of 9991010101 in words is "nine billion, nine hundred ninety-one million, ten thousand, one hundred one".