100111121710909 has 2 divisors, whose sum is σ = 100111121710910. Its totient is φ = 100111121710908.

The previous prime is 100111121710879. The next prime is 100111121710913. The reversal of 100111121710909 is 909017121111001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 73046884282009 + 27064237428900 = 8546747^2 + 5202330^2 .

It is a cyclic number.

It is not a de Polignac number, because 100111121710909 - 2²⁹ = 100110584839997 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100111121710969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50055560855454 + 50055560855455.

It is an arithmetic number, because the mean of its divisors is an integer number (50055560855455).

Almost surely, 2^{100111121710909} is an apocalyptic number.

It is an amenable number.

100111121710909 is a deficient number, since it is larger than the sum of its proper divisors (1).

100111121710909 is an equidigital number, since it uses as much as digits as its factorization.

100111121710909 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1134, while the sum is 34.

The spelling of 100111121710909 in words is "one hundred trillion, one hundred eleven billion, one hundred twenty-one million, seven hundred ten thousand, nine hundred nine".