100010100111109 has 2 divisors, whose sum is σ = 100010100111110. Its totient is φ = 100010100111108.

The previous prime is 100010100111029. The next prime is 100010100111133. The reversal of 100010100111109 is 901111001010001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 76825663250625 + 23184436860484 = 8765025^2 + 4815022^2 .

It is a cyclic number.

It is not a de Polignac number, because 100010100111109 - 2⁹ = 100010100110597 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100010100111092 and 100010100111101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100010100111199) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50005050055554 + 50005050055555.

It is an arithmetic number, because the mean of its divisors is an integer number (50005050055555).

Almost surely, 2^{100010100111109} is an apocalyptic number.

It is an amenable number.

100010100111109 is a deficient number, since it is larger than the sum of its proper divisors (1).

100010100111109 is an equidigital number, since it uses as much as digits as its factorization.

100010100111109 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9, while the sum is 16.

The spelling of 100010100111109 in words is "one hundred trillion, ten billion, one hundred million, one hundred eleven thousand, one hundred nine".