10034001101 has 2 divisors, whose sum is σ = 10034001102. Its totient is φ = 10034001100.

The previous prime is 10034001079. The next prime is 10034001119. The reversal of 10034001101 is 10110043001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7471009225 + 2562991876 = 86435^2 + 50626^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10034001101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10034001121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5017000550 + 5017000551.

It is an arithmetic number, because the mean of its divisors is an integer number (5017000551).

Almost surely, 2^10034001101 is an apocalyptic number.

It is an amenable number.

10034001101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10034001101 is an equidigital number, since it uses as much as digits as its factorization.

10034001101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 10034001101 its reverse (10110043001), we get a palindrome (20144044102).

The spelling of 10034001101 in words is "ten billion, thirty-four million, one thousand, one hundred one".