100100211109 has 2 divisors, whose sum is σ = 100100211110. Its totient is φ = 100100211108.

The previous prime is 100100211091. The next prime is 100100211131. The reversal of 100100211109 is 901112001001.

Together with previous prime (100100211091) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99412198209 + 688012900 = 315297^2 + 26230^2 .

It is an emirp because it is prime and its reverse (901112001001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100100211109 - 2⁹ = 100100210597 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100100211092 and 100100211101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100100211179) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050105554 + 50050105555.

It is an arithmetic number, because the mean of its divisors is an integer number (50050105555).

Almost surely, 2^100100211109 is an apocalyptic number.

It is an amenable number.

100100211109 is a deficient number, since it is larger than the sum of its proper divisors (1).

100100211109 is an equidigital number, since it uses as much as digits as its factorization.

100100211109 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18, while the sum is 16.

The spelling of 100100211109 in words is "one hundred billion, one hundred million, two hundred eleven thousand, one hundred nine".