100011111101009 has 2 divisors, whose sum is σ = 100011111101010. Its totient is φ = 100011111101008.

The previous prime is 100011111100897. The next prime is 100011111101017. The reversal of 100011111101009 is 900101111110001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 97236461331025 + 2774649769984 = 9860855^2 + 1665728^2 .

It is a cyclic number.

It is not a de Polignac number, because 100011111101009 - 2²⁴ = 100011094323793 is a prime.

It is not a weakly prime, because it can be changed into another prime (100011111103009) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50005555550504 + 50005555550505.

It is an arithmetic number, because the mean of its divisors is an integer number (50005555550505).

Almost surely, 2^{100011111101009} is an apocalyptic number.

It is an amenable number.

100011111101009 is a deficient number, since it is larger than the sum of its proper divisors (1).

100011111101009 is an equidigital number, since it uses as much as digits as its factorization.

100011111101009 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 17.

The spelling of 100011111101009 in words is "one hundred trillion, eleven billion, one hundred eleven million, one hundred one thousand, nine".