100101211110209 has 8 divisors (see below), whose sum is σ = 100955505870120. Its totient is φ = 99250543929600.

The previous prime is 100101211110193. The next prime is 100101211110211. The reversal of 100101211110209 is 902011112101001.

It can be written as a sum of positive squares in 4 ways, for example, as 31863450931984 + 68237760178225 = 5644772^2 + 8260615^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100101211110209 - 2⁴ = 100101211110193 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100101211110709) 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 in 7 ways as a sum of consecutive naturals, for example, 906839402 + ... + 906949779.

It is an arithmetic number, because the mean of its divisors is an integer number (12619438233765).

Almost surely, 2^{100101211110209} is an apocalyptic number.

It is an amenable number.

100101211110209 is a deficient number, since it is larger than the sum of its proper divisors (854294759911).

100101211110209 is a wasteful number, since it uses less digits than its factorization.

100101211110209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1813789651.

The product of its (nonzero) digits is 36, while the sum is 20.

The spelling of 100101211110209 in words is "one hundred trillion, one hundred one billion, two hundred eleven million, one hundred ten thousand, two hundred nine".