100111010111009 has 2 divisors, whose sum is σ = 100111010111010. Its totient is φ = 100111010111008.

The previous prime is 100111010110973. The next prime is 100111010111069. The reversal of 100111010111009 is 900111010111001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 78892641915409 + 21218368195600 = 8882153^2 + 4606340^2 .

It is a cyclic number.

It is not a de Polignac number, because 100111010111009 - 2⁴⁴ = 82518824066593 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (100111010111069) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50055505055504 + 50055505055505.

It is an arithmetic number, because the mean of its divisors is an integer number (50055505055505).

Almost surely, 2^{100111010111009} is an apocalyptic number.

It is an amenable number.

100111010111009 is a deficient number, since it is larger than the sum of its proper divisors (1).

100111010111009 is an equidigital number, since it uses as much as digits as its factorization.

100111010111009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9, while the sum is 17.

The spelling of 100111010111009 in words is "one hundred trillion, one hundred eleven billion, ten million, one hundred eleven thousand, nine".