10001011100091 has 16 divisors (see below), whose sum is σ = 14547853549440. Its totient is φ = 6060832051520.

The previous prime is 10001011100089. The next prime is 10001011100131. The reversal of 10001011100091 is 19000111010001.

10001011100091 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10001011100091 - 2¹ = 10001011100089 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10001011100091.

It is not an unprimeable number, because it can be changed into a prime (10001011100191) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9144546 + ... + 10179623.

It is an arithmetic number, because the mean of its divisors is an integer number (909240846840).

Almost surely, 2^{10001011100091} is an apocalyptic number.

10001011100091 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10001011100091 is a deficient number, since it is larger than the sum of its proper divisors (4546842449349).

10001011100091 is a wasteful number, since it uses less digits than its factorization.

10001011100091 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19339866.

The product of its (nonzero) digits is 9, while the sum is 15.

Adding to 10001011100091 its reverse (19000111010001), we get a palindrome (29001122110092).

The spelling of 10001011100091 in words is "ten trillion, one billion, eleven million, one hundred thousand, ninety-one".