100101111111011 has 2 divisors, whose sum is σ = 100101111111012. Its totient is φ = 100101111111010.

The previous prime is 100101111110999. The next prime is 100101111111061. The reversal of 100101111111011 is 110111111101001.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 100101111111011 - 2¹⁴ = 100101111094627 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100101111110983 and 100101111111001.

It is not a weakly prime, because it can be changed into another prime (100101111111061) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050555555505 + 50050555555506.

It is an arithmetic number, because the mean of its divisors is an integer number (50050555555506).

Almost surely, 2^{100101111111011} is an apocalyptic number.

100101111111011 is a deficient number, since it is larger than the sum of its proper divisors (1).

100101111111011 is an equidigital number, since it uses as much as digits as its factorization.

100101111111011 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 11.

Adding to 100101111111011 its reverse (110111111101001), we get a palindrome (210212222212012).

The spelling of 100101111111011 in words is "one hundred trillion, one hundred one billion, one hundred eleven million, one hundred eleven thousand, eleven".