34041222210097 has 2 divisors, whose sum is σ = 34041222210098. Its totient is φ = 34041222210096.

The previous prime is 34041222209947. The next prime is 34041222210169. The reversal of 34041222210097 is 79001222214043.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 26932685088241 + 7108537121856 = 5189671^2 + 2666184^2 .

It is a cyclic number.

It is not a de Polignac number, because 34041222210097 - 2³⁹ = 33491466396209 is a prime.

It is not a weakly prime, because it can be changed into another prime (34051222210097) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17020611105048 + 17020611105049.

It is an arithmetic number, because the mean of its divisors is an integer number (17020611105049).

Almost surely, 2^{34041222210097} is an apocalyptic number.

It is an amenable number.

34041222210097 is a deficient number, since it is larger than the sum of its proper divisors (1).

34041222210097 is an equidigital number, since it uses as much as digits as its factorization.

34041222210097 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 48384, while the sum is 37.

The spelling of 34041222210097 in words is "thirty-four trillion, forty-one billion, two hundred twenty-two million, two hundred ten thousand, ninety-seven".