100111122100991 has 2 divisors, whose sum is σ = 100111122100992. Its totient is φ = 100111122100990.

The previous prime is 100111122100939. The next prime is 100111122101071. The reversal of 100111122100991 is 199001221111001.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 100111122100991 - 2²² = 100111117906687 is a prime.

It is a super-3 number, since 3×100111122100991³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100111122100901) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50055561050495 + 50055561050496.

It is an arithmetic number, because the mean of its divisors is an integer number (50055561050496).

Almost surely, 2^{100111122100991} is an apocalyptic number.

100111122100991 is a deficient number, since it is larger than the sum of its proper divisors (1).

100111122100991 is an equidigital number, since it uses as much as digits as its factorization.

100111122100991 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 29.

Adding to 100111122100991 its reverse (199001221111001), we get a palindrome (299112343211992).

The spelling of 100111122100991 in words is "one hundred trillion, one hundred eleven billion, one hundred twenty-two million, one hundred thousand, nine hundred ninety-one".