211200102100009 has 8 divisors (see below), whose sum is σ = 240417507529152. Its totient is φ = 183652262695440.

The previous prime is 211200102100007. The next prime is 211200102100021. The reversal of 211200102100009 is 900001201002112.

It is a happy number.

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

It is not a de Polignac number, because 211200102100009 - 2¹ = 211200102100007 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (211200102100007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 417391505874 + ... + 417391506379.

It is an arithmetic number, because the mean of its divisors is an integer number (30052188441144).

Almost surely, 2^{211200102100009} is an apocalyptic number.

It is an amenable number.

211200102100009 is a deficient number, since it is larger than the sum of its proper divisors (29217405429143).

211200102100009 is a wasteful number, since it uses less digits than its factorization.

211200102100009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 834783012287.

The product of its (nonzero) digits is 72, while the sum is 19.

The spelling of 211200102100009 in words is "two hundred eleven trillion, two hundred billion, one hundred two million, one hundred thousand, nine".