34142220110129 has 2 divisors, whose sum is σ = 34142220110130. Its totient is φ = 34142220110128.

The previous prime is 34142220109979. The next prime is 34142220110143. The reversal of 34142220110129 is 92101102224143.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 26948972737600 + 7193247372529 = 5191240^2 + 2682023^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-34142220110129 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34142220110095 and 34142220110104.

It is not a weakly prime, because it can be changed into another prime (34142220110149) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17071110055064 + 17071110055065.

It is an arithmetic number, because the mean of its divisors is an integer number (17071110055065).

Almost surely, 2^{34142220110129} is an apocalyptic number.

It is an amenable number.

34142220110129 is a deficient number, since it is larger than the sum of its proper divisors (1).

34142220110129 is an equidigital number, since it uses as much as digits as its factorization.

34142220110129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6912, while the sum is 32.

The spelling of 34142220110129 in words is "thirty-four trillion, one hundred forty-two billion, two hundred twenty million, one hundred ten thousand, one hundred twenty-nine".