10034123101 has 2 divisors, whose sum is σ = 10034123102. Its totient is φ = 10034123100.

The previous prime is 10034123087. The next prime is 10034123111. The reversal of 10034123101 is 10132143001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10020210201 + 13912900 = 100101^2 + 3730^2 .

It is an emirp because it is prime and its reverse (10132143001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10034123101 - 2¹⁵ = 10034090333 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10034123111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5017061550 + 5017061551.

It is an arithmetic number, because the mean of its divisors is an integer number (5017061551).

Almost surely, 2^10034123101 is an apocalyptic number.

It is an amenable number.

10034123101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10034123101 is an equidigital number, since it uses as much as digits as its factorization.

10034123101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 10034123101 its reverse (10132143001), we get a palindrome (20166266102).

The spelling of 10034123101 in words is "ten billion, thirty-four million, one hundred twenty-three thousand, one hundred one".