105000001101097 has 2 divisors, whose sum is σ = 105000001101098. Its totient is φ = 105000001101096.

The previous prime is 105000001101067. The next prime is 105000001101109. The reversal of 105000001101097 is 790101100000501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 79780963416361 + 25219037684736 = 8932019^2 + 5021856^2 .

It is a cyclic number.

It is not a de Polignac number, because 105000001101097 - 2¹⁵ = 105000001068329 is a prime.

It is a super-2 number, since 2×105000001101097² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105000001101067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52500000550548 + 52500000550549.

It is an arithmetic number, because the mean of its divisors is an integer number (52500000550549).

Almost surely, 2^{105000001101097} is an apocalyptic number.

It is an amenable number.

105000001101097 is a deficient number, since it is larger than the sum of its proper divisors (1).

105000001101097 is an equidigital number, since it uses as much as digits as its factorization.

105000001101097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 315, while the sum is 25.

Adding to 105000001101097 its reverse (790101100000501), we get a palindrome (895101101101598).

The spelling of 105000001101097 in words is "one hundred five trillion, one million, one hundred one thousand, ninety-seven".