105101004097 has 2 divisors, whose sum is σ = 105101004098. Its totient is φ = 105101004096.

The previous prime is 105101004077. The next prime is 105101004121. The reversal of 105101004097 is 790400101501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 101505322801 + 3595681296 = 318599^2 + 59964^2 .

It is a cyclic number.

It is not a de Polignac number, because 105101004097 - 2²⁷ = 104966786369 is a prime.

It is a super-2 number, since 2×105101004097² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105101004007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52550502048 + 52550502049.

It is an arithmetic number, because the mean of its divisors is an integer number (52550502049).

Almost surely, 2^105101004097 is an apocalyptic number.

It is an amenable number.

105101004097 is a deficient number, since it is larger than the sum of its proper divisors (1).

105101004097 is an equidigital number, since it uses as much as digits as its factorization.

105101004097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1260, while the sum is 28.

Adding to 105101004097 its reverse (790400101501), we get a palindrome (895501105598).

The spelling of 105101004097 in words is "one hundred five billion, one hundred one million, four thousand, ninety-seven".