100110103111009 has 2 divisors, whose sum is σ = 100110103111010. Its totient is φ = 100110103111008.

The previous prime is 100110103110917. The next prime is 100110103111027. The reversal of 100110103111009 is 900111301011001.

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., 99619802064784 + 490301046225 = 9980972^2 + 700215^2 .

It is a cyclic number.

It is not a de Polignac number, because 100110103111009 - 2⁴⁵ = 64925731022177 is a prime.

It is not a weakly prime, because it can be changed into another prime (100110103111079) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50055051555504 + 50055051555505.

It is an arithmetic number, because the mean of its divisors is an integer number (50055051555505).

Almost surely, 2^{100110103111009} is an apocalyptic number.

It is an amenable number.

100110103111009 is a deficient number, since it is larger than the sum of its proper divisors (1).

100110103111009 is an equidigital number, since it uses as much as digits as its factorization.

100110103111009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27, while the sum is 19.

The spelling of 100110103111009 in words is "one hundred trillion, one hundred ten billion, one hundred three million, one hundred eleven thousand, nine".