100111011101 has 2 divisors, whose sum is σ = 100111011102. Its totient is φ = 100111011100.

The previous prime is 100111011083. The next prime is 100111011109. The reversal of 100111011101 is 101110111001.

It is an a-pointer prime, because the next prime (100111011109) can be obtained adding 100111011101 to its sum of digits (8).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 94959504025 + 5151507076 = 308155^2 + 71774^2 .

It is a cyclic number.

It is not a de Polignac number, because 100111011101 - 2²⁶ = 100043902237 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100111011109) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50055505550 + 50055505551.

It is an arithmetic number, because the mean of its divisors is an integer number (50055505551).

Almost surely, 2^100111011101 is an apocalyptic number.

It is an amenable number.

100111011101 is a deficient number, since it is larger than the sum of its proper divisors (1).

100111011101 is an equidigital number, since it uses as much as digits as its factorization.

100111011101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 100111011101 its reverse (101110111001), we get a palindrome (201221122102).

The spelling of 100111011101 in words is "one hundred billion, one hundred eleven million, eleven thousand, one hundred one".