10000010100091 has 12 divisors (see below), whose sum is σ = 11100575827152. Its totient is φ = 9000909170000.

The previous prime is 10000010100089. The next prime is 10000010100263. The reversal of 10000010100091 is 19000101000001.

It is not a de Polignac number, because 10000010100091 - 2¹ = 10000010100089 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10000010101091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 409120015 + ... + 409144456.

It is an arithmetic number, because the mean of its divisors is an integer number (925047985596).

Almost surely, 2^{10000010100091} is an apocalyptic number.

10000010100091 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10000010100091 is a deficient number, since it is larger than the sum of its proper divisors (1100565727061).

10000010100091 is a wasteful number, since it uses less digits than its factorization.

10000010100091 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 818264594 (or 818264583 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 13.

Adding to 10000010100091 its reverse (19000101000001), we get a palindrome (29000111100092).

It can be divided in two parts, 10000010 and 100091, that added together give a palindrome (10100101).

The spelling of 10000010100091 in words is "ten trillion, ten million, one hundred thousand, ninety-one".