10100000100011 has 2 divisors, whose sum is σ = 10100000100012. Its totient is φ = 10100000100010.

The previous prime is 10100000099941. The next prime is 10100000100023. The reversal of 10100000100011 is 11000100000101.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 10100000100011 - 2¹⁰ = 10100000098987 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10100000099968 and 10100000100004.

It is not a weakly prime, because it can be changed into another prime (10100000100811) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050000050005 + 5050000050006.

It is an arithmetic number, because the mean of its divisors is an integer number (5050000050006).

Almost surely, 2^{10100000100011} is an apocalyptic number.

10100000100011 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100000100011 is an equidigital number, since it uses as much as digits as its factorization.

10100000100011 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 10100000100011 its reverse (11000100000101), we get a palindrome (21100100100112).

The spelling of 10100000100011 in words is "ten trillion, one hundred billion, one hundred thousand, eleven".