100100100000097 has 2 divisors, whose sum is σ = 100100100000098. Its totient is φ = 100100100000096.

The previous prime is 100100100000091. The next prime is 100100100000137. The reversal of 100100100000097 is 790000001001001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 89155442990656 + 10944657009441 = 9442216^2 + 3308271^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100100100000097 is a prime.

It is not a weakly prime, because it can be changed into another prime (100100100000091) 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, 50050050000048 + 50050050000049.

It is an arithmetic number, because the mean of its divisors is an integer number (50050050000049).

Almost surely, 2^{100100100000097} is an apocalyptic number.

It is an amenable number.

100100100000097 is a deficient number, since it is larger than the sum of its proper divisors (1).

100100100000097 is an equidigital number, since it uses as much as digits as its factorization.

100100100000097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 63, while the sum is 19.

Adding to 100100100000097 its reverse (790000001001001), we get a palindrome (890100101001098).

The spelling of 100100100000097 in words is "one hundred trillion, one hundred billion, one hundred million, ninety-seven", and thus it is an aban number.