100100100000011 has 2 divisors, whose sum is σ = 100100100000012. Its totient is φ = 100100100000010.

The previous prime is 100100099999971. The next prime is 100100100000077. The reversal of 100100100000011 is 110000001001001.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100100100000011 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100100099999950 and 100100100000004.

It is not a weakly prime, because it can be changed into another prime (100100100000091) 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, 50050050000005 + 50050050000006.

It is an arithmetic number, because the mean of its divisors is an integer number (50050050000006).

Almost surely, 2^{100100100000011} is an apocalyptic number.

100100100000011 is a deficient number, since it is larger than the sum of its proper divisors (1).

100100100000011 is an equidigital number, since it uses as much as digits as its factorization.

100100100000011 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 100100100000011 its reverse (110000001001001), we get a palindrome (210100101001012).

The spelling of 100100100000011 in words is "one hundred trillion, one hundred billion, one hundred million, eleven", and thus it is an aban number.