100100110010011 has 2 divisors, whose sum is σ = 100100110010012. Its totient is φ = 100100110010010.

The previous prime is 100100110009997. The next prime is 100100110010039. The reversal of 100100110010011 is 110010011001001.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 100100110010011 - 2⁹ = 100100110009499 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100100110009976 and 100100110010003.

It is not a weakly prime, because it can be changed into another prime (100100110010041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050055005005 + 50050055005006.

It is an arithmetic number, because the mean of its divisors is an integer number (50050055005006).

Almost surely, 2^{100100110010011} is an apocalyptic number.

100100110010011 is a deficient number, since it is larger than the sum of its proper divisors (1).

100100110010011 is an equidigital number, since it uses as much as digits as its factorization.

100100110010011 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 7.

Adding to 100100110010011 its reverse (110010011001001), we get a palindrome (210110121011012).

The spelling of 100100110010011 in words is "one hundred trillion, one hundred billion, one hundred ten million, ten thousand, eleven".