100100001100997 has 2 divisors, whose sum is σ = 100100001100998. Its totient is φ = 100100001100996.

The previous prime is 100100001100987. The next prime is 100100001101083. The reversal of 100100001100997 is 799001100001001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 58784943773956 + 41315057327041 = 7667134^2 + 6427679^2 .

It is a cyclic number.

It is not a de Polignac number, because 100100001100997 - 2³⁰ = 100098927359173 is a prime.

It is a super-2 number, since 2×100100001100997² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100100001100927) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050000550498 + 50050000550499.

It is an arithmetic number, because the mean of its divisors is an integer number (50050000550499).

Almost surely, 2^{100100001100997} is an apocalyptic number.

It is an amenable number.

100100001100997 is a deficient number, since it is larger than the sum of its proper divisors (1).

100100001100997 is an equidigital number, since it uses as much as digits as its factorization.

100100001100997 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 29.

Adding to 100100001100997 its reverse (799001100001001), we get a palindrome (899101101101998).

The spelling of 100100001100997 in words is "one hundred trillion, one hundred billion, one million, one hundred thousand, nine hundred ninety-seven".