10100000100101 has 2 divisors, whose sum is σ = 10100000100102. Its totient is φ = 10100000100100.

The previous prime is 10100000100023. The next prime is 10100000100121. The reversal of 10100000100101 is 10100100000101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9939050695876 + 160949404225 = 3152626^2 + 401185^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100000100101 - 2¹⁴ = 10100000083717 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10100000100121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050000050050 + 5050000050051.

It is an arithmetic number, because the mean of its divisors is an integer number (5050000050051).

Almost surely, 2^{10100000100101} is an apocalyptic number.

It is an amenable number.

10100000100101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100000100101 is an equidigital number, since it uses as much as digits as its factorization.

10100000100101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 10100000100101 its reverse (10100100000101), we get a palindrome (20200100100202).

The spelling of 10100000100101 in words is "ten trillion, one hundred billion, one hundred thousand, one hundred one".