100111010100091 has 2 divisors, whose sum is σ = 100111010100092. Its totient is φ = 100111010100090.

The previous prime is 100111010100043. The next prime is 100111010100131. The reversal of 100111010100091 is 190001010111001.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 100111010100091 - 2⁹ = 100111010099579 is a prime.

It is not a weakly prime, because it can be changed into another prime (100111010170091) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50055505050045 + 50055505050046.

It is an arithmetic number, because the mean of its divisors is an integer number (50055505050046).

Almost surely, 2^{100111010100091} is an apocalyptic number.

100111010100091 is a deficient number, since it is larger than the sum of its proper divisors (1).

100111010100091 is an equidigital number, since it uses as much as digits as its factorization.

100111010100091 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 16.

Adding to 100111010100091 its reverse (190001010111001), we get a palindrome (290112020211092).

The spelling of 100111010100091 in words is "one hundred trillion, one hundred eleven billion, ten million, one hundred thousand, ninety-one".