211200117 has 32 divisors (see below), whose sum is σ = 300933120. Its totient is φ = 131544000.

The previous prime is 211200103. The next prime is 211200149. The reversal of 211200117 is 711002112.

211200117 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 211200117 - 2⁸ = 211199861 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 211200096 and 211200105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211200167) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 334392 + ... + 335022.

It is an arithmetic number, because the mean of its divisors is an integer number (9404160).

Almost surely, 2^211200117 is an apocalyptic number.

It is an amenable number.

211200117 is a deficient number, since it is larger than the sum of its proper divisors (89733003).

211200117 is a wasteful number, since it uses less digits than its factorization.

211200117 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 785.

The product of its (nonzero) digits is 28, while the sum is 15.

The square root of 211200117 is about 14532.7257250662. The cubic root of 211200117 is about 595.5223311501.

Adding to 211200117 its reverse (711002112), we get a palindrome (922202229).

The spelling of 211200117 in words is "two hundred eleven million, two hundred thousand, one hundred seventeen".