100011000000997 has 2 divisors, whose sum is σ = 100011000000998. Its totient is φ = 100011000000996.

The previous prime is 100011000000979. The next prime is 100011000001001. The reversal of 100011000000997 is 799000000110001.

Together with previous prime (100011000000979) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 88447742571556 + 11563257429441 = 9404666^2 + 3400479^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100011000000997 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100011000006997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50005500000498 + 50005500000499.

It is an arithmetic number, because the mean of its divisors is an integer number (50005500000499).

Almost surely, 2^{100011000000997} is an apocalyptic number.

It is an amenable number.

100011000000997 is a deficient number, since it is larger than the sum of its proper divisors (1).

100011000000997 is an equidigital number, since it uses as much as digits as its factorization.

100011000000997 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 28.

Adding to 100011000000997 its reverse (799000000110001), we get a palindrome (899011000110998).

The spelling of 100011000000997 in words is "one hundred trillion, eleven billion, nine hundred ninety-seven", and thus it is an aban number.