200211210010109 has 16 divisors (see below), whose sum is σ = 212051177175600. Its totient is φ = 188773378352640.

The previous prime is 200211210010093. The next prime is 200211210010117. The reversal of 200211210010109 is 901010012112002.

It can be written as a sum of positive squares in 8 ways, for example, as 75375213972100 + 124835996038009 = 8681890^2 + 11173003^2 .

It is not a de Polignac number, because 200211210010109 - 2⁴ = 200211210010093 is a prime.

It is a super-2 number, since 2×200211210010109² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200211210010909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 442654454 + ... + 443106519.

It is an arithmetic number, because the mean of its divisors is an integer number (13253198573475).

Almost surely, 2^{200211210010109} is an apocalyptic number.

It is an amenable number.

200211210010109 is a deficient number, since it is larger than the sum of its proper divisors (11839967165491).

200211210010109 is a wasteful number, since it uses less digits than its factorization.

200211210010109 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 885761200.

The product of its (nonzero) digits is 72, while the sum is 20.

The spelling of 200211210010109 in words is "two hundred trillion, two hundred eleven billion, two hundred ten million, ten thousand, one hundred nine".