100100034304097 has 2 divisors, whose sum is σ = 100100034304098. Its totient is φ = 100100034304096.

The previous prime is 100100034304019. The next prime is 100100034304129. The reversal of 100100034304097 is 790403430001001.

It is an a-pointer prime, because the next prime (100100034304129) can be obtained adding 100100034304097 to its sum of digits (32).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100072032967201 + 28001336896 = 10003601^2 + 167336^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100100034304097 is a prime.

It is not a weakly prime, because it can be changed into another prime (100100034301097) 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, 50050017152048 + 50050017152049.

It is an arithmetic number, because the mean of its divisors is an integer number (50050017152049).

Almost surely, 2^{100100034304097} is an apocalyptic number.

It is an amenable number.

100100034304097 is a deficient number, since it is larger than the sum of its proper divisors (1).

100100034304097 is an equidigital number, since it uses as much as digits as its factorization.

100100034304097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9072, while the sum is 32.

Adding to 100100034304097 its reverse (790403430001001), we get a palindrome (890503464305098).

The spelling of 100100034304097 in words is "one hundred trillion, one hundred billion, thirty-four million, three hundred four thousand, ninety-seven".