100111001009 has 2 divisors, whose sum is σ = 100111001010. Its totient is φ = 100111001008.

The previous prime is 100111000961. The next prime is 100111001017. The reversal of 100111001009 is 900100111001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 88151391409 + 11959609600 = 296903^2 + 109360^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100111001009 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100111000984 and 100111001002.

It is not a weakly prime, because it can be changed into another prime (100111001069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50055500504 + 50055500505.

It is an arithmetic number, because the mean of its divisors is an integer number (50055500505).

Almost surely, 2^100111001009 is an apocalyptic number.

It is an amenable number.

100111001009 is a deficient number, since it is larger than the sum of its proper divisors (1).

100111001009 is an equidigital number, since it uses as much as digits as its factorization.

100111001009 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 14.

The spelling of 100111001009 in words is "one hundred billion, one hundred eleven million, one thousand, nine".