100111011111091 has 2 divisors, whose sum is σ = 100111011111092. Its totient is φ = 100111011111090.

The previous prime is 100111011111053. The next prime is 100111011111101. The reversal of 100111011111091 is 190111110111001.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 100111011111091 - 2¹³ = 100111011102899 is a prime.

It is not a weakly prime, because it can be changed into another prime (100111011111191) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50055505555545 + 50055505555546.

It is an arithmetic number, because the mean of its divisors is an integer number (50055505555546).

Almost surely, 2^{100111011111091} is an apocalyptic number.

100111011111091 is a deficient number, since it is larger than the sum of its proper divisors (1).

100111011111091 is an equidigital number, since it uses as much as digits as its factorization.

100111011111091 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 19.

Adding to 100111011111091 its reverse (190111110111001), we get a palindrome (290222121222092).

The spelling of 100111011111091 in words is "one hundred trillion, one hundred eleven billion, eleven million, one hundred eleven thousand, ninety-one".