34034010807101 has 2 divisors, whose sum is σ = 34034010807102. Its totient is φ = 34034010807100.

The previous prime is 34034010806909. The next prime is 34034010807163. The reversal of 34034010807101 is 10170801043043.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 23239861959076 + 10794148848025 = 4820774^2 + 3285445^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-34034010807101 is a prime.

It is a super-2 number, since 2×34034010807101² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34034010207101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17017005403550 + 17017005403551.

It is an arithmetic number, because the mean of its divisors is an integer number (17017005403551).

Almost surely, 2^{34034010807101} is an apocalyptic number.

It is an amenable number.

34034010807101 is a deficient number, since it is larger than the sum of its proper divisors (1).

34034010807101 is an equidigital number, since it uses as much as digits as its factorization.

34034010807101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8064, while the sum is 32.

The spelling of 34034010807101 in words is "thirty-four trillion, thirty-four billion, ten million, eight hundred seven thousand, one hundred one".