34012123221029 has 2 divisors, whose sum is σ = 34012123221030. Its totient is φ = 34012123221028.

The previous prime is 34012123221007. The next prime is 34012123221047. The reversal of 34012123221029 is 92012232121043.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 25125136200004 + 8886987021025 = 5012498^2 + 2981105^2 .

It is a cyclic number.

It is not a de Polignac number, because 34012123221029 - 2²⁴ = 34012106443813 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34012123220986 and 34012123221004.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34012123221229) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17006061610514 + 17006061610515.

It is an arithmetic number, because the mean of its divisors is an integer number (17006061610515).

Almost surely, 2^{34012123221029} is an apocalyptic number.

It is an amenable number.

34012123221029 is a deficient number, since it is larger than the sum of its proper divisors (1).

34012123221029 is an equidigital number, since it uses as much as digits as its factorization.

34012123221029 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10368, while the sum is 32.

The spelling of 34012123221029 in words is "thirty-four trillion, twelve billion, one hundred twenty-three million, two hundred twenty-one thousand, twenty-nine".