212117105511 has 16 divisors (see below), whose sum is σ = 314926302720. Its totient is φ = 141105971160.

The previous prime is 212117105507. The next prime is 212117105533. The reversal of 212117105511 is 115501711212.

212117105511 is a `hidden beast` number, since 2 + 121 + 17 + 10 + 5 + 511 = 666.

212117105511 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 212117105511 - 2² = 212117105507 is a prime.

It is a super-2 number, since 2×212117105511² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212117505511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8471505 + ... + 8496506.

It is an arithmetic number, because the mean of its divisors is an integer number (19682893920).

Almost surely, 2^212117105511 is an apocalyptic number.

212117105511 is a deficient number, since it is larger than the sum of its proper divisors (102809197209).

212117105511 is a wasteful number, since it uses less digits than its factorization.

212117105511 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16968483 (or 16968477 counting only the distinct ones).

The product of its (nonzero) digits is 700, while the sum is 27.

Adding to 212117105511 its reverse (115501711212), we get a palindrome (327618816723).

The spelling of 212117105511 in words is "two hundred twelve billion, one hundred seventeen million, one hundred five thousand, five hundred eleven".