10034032014101 has 2 divisors, whose sum is σ = 10034032014102. Its totient is φ = 10034032014100.

The previous prime is 10034032014059. The next prime is 10034032014131. The reversal of 10034032014101 is 10141023043001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6769108266001 + 3264923748100 = 2601751^2 + 1806910^2 .

It is an emirp because it is prime and its reverse (10141023043001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10034032014101 - 2⁶ = 10034032014037 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10034032014131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5017016007050 + 5017016007051.

It is an arithmetic number, because the mean of its divisors is an integer number (5017016007051).

Almost surely, 2^{10034032014101} is an apocalyptic number.

It is an amenable number.

10034032014101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10034032014101 is an equidigital number, since it uses as much as digits as its factorization.

10034032014101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 10034032014101 its reverse (10141023043001), we get a palindrome (20175055057102).

The spelling of 10034032014101 in words is "ten trillion, thirty-four billion, thirty-two million, fourteen thousand, one hundred one".