10000100100091 has 2 divisors, whose sum is σ = 10000100100092. Its totient is φ = 10000100100090.

The previous prime is 10000100100073. The next prime is 10000100100113. The reversal of 10000100100091 is 19000100100001.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 10000100100091 - 2³⁷ = 9862661146619 is a prime.

It is not a weakly prime, because it can be changed into another prime (10000100100071) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000050050045 + 5000050050046.

It is an arithmetic number, because the mean of its divisors is an integer number (5000050050046).

Almost surely, 2^{10000100100091} is an apocalyptic number.

10000100100091 is a deficient number, since it is larger than the sum of its proper divisors (1).

10000100100091 is an equidigital number, since it uses as much as digits as its factorization.

10000100100091 is an odious number, because the sum of its binary digits is odd.

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

Adding to 10000100100091 its reverse (19000100100001), we get a palindrome (29000200200092).

The spelling of 10000100100091 in words is "ten trillion, one hundred million, one hundred thousand, ninety-one".