100011108011 has 2 divisors, whose sum is σ = 100011108012. Its totient is φ = 100011108010.

The previous prime is 100011107983. The next prime is 100011108023. The reversal of 100011108011 is 110801110001.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 100011108011 - 2¹⁸ = 100010845867 is a prime.

It is a super-2 number, since 2×100011108011² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100011108031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50005554005 + 50005554006.

It is an arithmetic number, because the mean of its divisors is an integer number (50005554006).

Almost surely, 2^100011108011 is an apocalyptic number.

100011108011 is a deficient number, since it is larger than the sum of its proper divisors (1).

100011108011 is an equidigital number, since it uses as much as digits as its factorization.

100011108011 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 100011108011 its reverse (110801110001), we get a palindrome (210812218012).

It can be divided in two parts, 10001 and 1108011, that multiplied together give a palindrome (11081218011).

The spelling of 100011108011 in words is "one hundred billion, eleven million, one hundred eight thousand, eleven".