100101011001097 has 2 divisors, whose sum is σ = 100101011001098. Its totient is φ = 100101011001096.

The previous prime is 100101011001029. The next prime is 100101011001133. The reversal of 100101011001097 is 790100110101001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 93821230610496 + 6279780390601 = 9686136^2 + 2505949^2 .

It is a cyclic number.

It is not a de Polignac number, because 100101011001097 - 2¹¹ = 100101010999049 is a prime.

It is not a weakly prime, because it can be changed into another prime (100101011005097) 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, 50050505500548 + 50050505500549.

It is an arithmetic number, because the mean of its divisors is an integer number (50050505500549).

Almost surely, 2^{100101011001097} is an apocalyptic number.

It is an amenable number.

100101011001097 is a deficient number, since it is larger than the sum of its proper divisors (1).

100101011001097 is an equidigital number, since it uses as much as digits as its factorization.

100101011001097 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 22.

Adding to 100101011001097 its reverse (790100110101001), we get a palindrome (890201121102098).

The spelling of 100101011001097 in words is "one hundred trillion, one hundred one billion, eleven million, one thousand, ninety-seven".