100110101011 has 2 divisors, whose sum is σ = 100110101012. Its totient is φ = 100110101010.

The previous prime is 100110100997. The next prime is 100110101027. The reversal of 100110101011 is 110101011001.

It is a happy number.

It is a weak prime.

It is an emirp because it is prime and its reverse (110101011001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100110101011 - 2²⁵ = 100076546579 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100110100985 and 100110101003.

It is not a weakly prime, because it can be changed into another prime (100110101111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50055050505 + 50055050506.

It is an arithmetic number, because the mean of its divisors is an integer number (50055050506).

Almost surely, 2^100110101011 is an apocalyptic number.

100110101011 is a deficient number, since it is larger than the sum of its proper divisors (1).

100110101011 is an equidigital number, since it uses as much as digits as its factorization.

100110101011 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 100110101011 its reverse (110101011001), we get a palindrome (210211112012).

The spelling of 100110101011 in words is "one hundred billion, one hundred ten million, one hundred one thousand, eleven".