10100112101 has 2 divisors, whose sum is σ = 10100112102. Its totient is φ = 10100112100.

The previous prime is 10100112059. The next prime is 10100112133. The reversal of 10100112101 is 10121100101.

It is a happy number.

10100112101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10093216225 + 6895876 = 100465^2 + 2626^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10100112101 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10100112161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050056050 + 5050056051.

It is an arithmetic number, because the mean of its divisors is an integer number (5050056051).

Almost surely, 2^10100112101 is an apocalyptic number.

It is an amenable number.

10100112101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100112101 is an equidigital number, since it uses as much as digits as its factorization.

10100112101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 10100112101 its reverse (10121100101), we get a palindrome (20221212202).

The spelling of 10100112101 in words is "ten billion, one hundred million, one hundred twelve thousand, one hundred one".