34045517101 has 2 divisors, whose sum is σ = 34045517102. Its totient is φ = 34045517100.

The previous prime is 34045517083. The next prime is 34045517113. The reversal of 34045517101 is 10171554043.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 32942613001 + 1102904100 = 181501^2 + 33210^2 .

It is a cyclic number.

It is not a de Polignac number, because 34045517101 - 2²⁵ = 34011962669 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34045517141) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17022758550 + 17022758551.

It is an arithmetic number, because the mean of its divisors is an integer number (17022758551).

Almost surely, 2^34045517101 is an apocalyptic number.

It is an amenable number.

34045517101 is a deficient number, since it is larger than the sum of its proper divisors (1).

34045517101 is an equidigital number, since it uses as much as digits as its factorization.

34045517101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8400, while the sum is 31.

The spelling of 34045517101 in words is "thirty-four billion, forty-five million, five hundred seventeen thousand, one hundred one".