101111100997 has 2 divisors, whose sum is σ = 101111100998. Its totient is φ = 101111100996.

The previous prime is 101111100953. The next prime is 101111101001. The reversal of 101111100997 is 799001111101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 61305264801 + 39805836196 = 247599^2 + 199514^2 .

It is an emirp because it is prime and its reverse (799001111101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101111100997 - 2⁷ = 101111100869 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101111100697) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50555550498 + 50555550499.

It is an arithmetic number, because the mean of its divisors is an integer number (50555550499).

Almost surely, 2^101111100997 is an apocalyptic number.

It is an amenable number.

101111100997 is a deficient number, since it is larger than the sum of its proper divisors (1).

101111100997 is an equidigital number, since it uses as much as digits as its factorization.

101111100997 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 567, while the sum is 31.

The spelling of 101111100997 in words is "one hundred one billion, one hundred eleven million, one hundred thousand, nine hundred ninety-seven".