10106101 has 2 divisors, whose sum is σ = 10106102. Its totient is φ = 10106100.

The previous prime is 10106099. The next prime is 10106111. The reversal of 10106101 is 10160101.

It is an a-pointer prime, because the next prime (10106111) can be obtained adding 10106101 to its sum of digits (10).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9579025 + 527076 = 3095^2 + 726^2 .

It is a cyclic number.

It is not a de Polignac number, because 10106101 - 2¹ = 10106099 is a prime.

Together with 10106099, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10106111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5053050 + 5053051.

It is an arithmetic number, because the mean of its divisors is an integer number (5053051).

Almost surely, 2^10106101 is an apocalyptic number.

It is an amenable number.

10106101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10106101 is an equidigital number, since it uses as much as digits as its factorization.

10106101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6, while the sum is 10.

The square root of 10106101 is about 3179.0094369158. The cubic root of 10106101 is about 216.2027488730.

Adding to 10106101 its reverse (10160101), we get a palindrome (20266202).

The spelling of 10106101 in words is "ten million, one hundred six thousand, one hundred one".