10000101009991 has 24 divisors (see below), whose sum is σ = 10749000801168. Its totient is φ = 9299483424000.

The previous prime is 10000101009893. The next prime is 10000101010043. The reversal of 10000101009991 is 19990010100001.

10000101009991 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10000101009991 - 2¹¹ = 10000101007943 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000101609991) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10349871 + ... + 11274751.

It is an arithmetic number, because the mean of its divisors is an integer number (447875033382).

Almost surely, 2^{10000101009991} is an apocalyptic number.

10000101009991 is a deficient number, since it is larger than the sum of its proper divisors (748899791177).

10000101009991 is an equidigital number, since it uses as much as digits as its factorization.

10000101009991 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 925471 (or 925452 counting only the distinct ones).

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

Adding to 10000101009991 its reverse (19990010100001), we get a palindrome (29990111109992).

The spelling of 10000101009991 in words is "ten trillion, one hundred one million, nine thousand, nine hundred ninety-one".