100110212009 has 2 divisors, whose sum is σ = 100110212010. Its totient is φ = 100110212008.

The previous prime is 100110211973. The next prime is 100110212021. The reversal of 100110212009 is 900212011001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 98221440409 + 1888771600 = 313403^2 + 43460^2 .

It is a cyclic number.

It is not a de Polignac number, because 100110212009 - 2⁸ = 100110211753 is a prime.

It is not a weakly prime, because it can be changed into another prime (100110212099) 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, 50055106004 + 50055106005.

It is an arithmetic number, because the mean of its divisors is an integer number (50055106005).

Almost surely, 2^100110212009 is an apocalyptic number.

It is an amenable number.

100110212009 is a deficient number, since it is larger than the sum of its proper divisors (1).

100110212009 is an equidigital number, since it uses as much as digits as its factorization.

100110212009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 17.

The spelling of 100110212009 in words is "one hundred billion, one hundred ten million, two hundred twelve thousand, nine".