100211211109 has 8 divisors (see below), whose sum is σ = 101229900408. Its totient is φ = 99193041600.

The previous prime is 100211211053. The next prime is 100211211119. The reversal of 100211211109 is 901112112001.

It can be written as a sum of positive squares in 4 ways, for example, as 44846532900 + 55364678209 = 211770^2 + 235297^2 .

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 100211211109 - 2¹⁷ = 100211080037 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100211211119) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 263619 + ... + 519535.

It is an arithmetic number, because the mean of its divisors is an integer number (12653737551).

Almost surely, 2^100211211109 is an apocalyptic number.

It is an amenable number.

100211211109 is a deficient number, since it is larger than the sum of its proper divisors (1018689299).

100211211109 is a wasteful number, since it uses less digits than its factorization.

100211211109 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259895.

The product of its (nonzero) digits is 36, while the sum is 19.

The spelling of 100211211109 in words is "one hundred billion, two hundred eleven million, two hundred eleven thousand, one hundred nine".