10000008101 has 2 divisors, whose sum is σ = 10000008102. Its totient is φ = 10000008100.

The previous prime is 10000008089. The next prime is 10000008113. The reversal of 10000008101 is 10180000001.

It is a balanced prime because it is at equal distance from previous prime (10000008089) and next prime (10000008113).

It can be written as a sum of positive squares in only one way, i.e., 8326380001 + 1673628100 = 91249^2 + 40910^2 .

It is a cyclic number.

It is not a de Polignac number, because 10000008101 - 2¹⁰ = 10000007077 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10000008121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000004050 + 5000004051.

It is an arithmetic number, because the mean of its divisors is an integer number (5000004051).

Almost surely, 2^10000008101 is an apocalyptic number.

It is an amenable number.

10000008101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10000008101 is an equidigital number, since it uses as much as digits as its factorization.

10000008101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10000008101 its reverse (10180000001), we get a palindrome (20180008102).

The spelling of 10000008101 in words is "ten billion, eight thousand, one hundred one".