100010000100011 has 2 divisors, whose sum is σ = 100010000100012. Its totient is φ = 100010000100010.

The previous prime is 100010000099981. The next prime is 100010000100037. The reversal of 100010000100011 is 110001000010001.

It is a strong prime.

It is an emirp because it is prime and its reverse (110001000010001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100010000100011 - 2³⁴ = 99992820230827 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100010000099968 and 100010000100004.

It is not a weakly prime, because it can be changed into another prime (100010000100811) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50005000050005 + 50005000050006.

It is an arithmetic number, because the mean of its divisors is an integer number (50005000050006).

Almost surely, 2^{100010000100011} is an apocalyptic number.

100010000100011 is a deficient number, since it is larger than the sum of its proper divisors (1).

100010000100011 is an equidigital number, since it uses as much as digits as its factorization.

100010000100011 is an evil number, because the sum of its binary digits is even.

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

Adding to 100010000100011 its reverse (110001000010001), we get a palindrome (210011000110012).

The spelling of 100010000100011 in words is "one hundred trillion, ten billion, one hundred thousand, eleven".