211005111117 has 16 divisors (see below), whose sum is σ = 288963426752. Its totient is φ = 136858947840.

The previous prime is 211005111013. The next prime is 211005111133. The reversal of 211005111117 is 711111500112.

It is not a de Polignac number, because 211005111117 - 2⁸ = 211005110861 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 211005111093 and 211005111102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211005111157) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1843317 + ... + 1954437.

It is an arithmetic number, because the mean of its divisors is an integer number (18060214172).

Almost surely, 2^211005111117 is an apocalyptic number.

It is an amenable number.

211005111117 is a deficient number, since it is larger than the sum of its proper divisors (77958315635).

211005111117 is a wasteful number, since it uses less digits than its factorization.

211005111117 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128268.

The product of its (nonzero) digits is 70, while the sum is 21.

Adding to 211005111117 its reverse (711111500112), we get a palindrome (922116611229).

The spelling of 211005111117 in words is "two hundred eleven billion, five million, one hundred eleven thousand, one hundred seventeen".