212105006011 has 8 divisors (see below), whose sum is σ = 223539729920. Its totient is φ = 200697412392.

The previous prime is 212105005997. The next prime is 212105006023. The reversal of 212105006011 is 110600501212.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-212105006011 is a prime.

It is a super-2 number, since 2×212105006011² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 212105006011.

It is not an unprimeable number, because it can be changed into a prime (212105006041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6766515 + ... + 6797788.

It is an arithmetic number, because the mean of its divisors is an integer number (27942466240).

Almost surely, 2^212105006011 is an apocalyptic number.

212105006011 is a deficient number, since it is larger than the sum of its proper divisors (11434723909).

212105006011 is a wasteful number, since it uses less digits than its factorization.

212105006011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13565145.

The product of its (nonzero) digits is 120, while the sum is 19.

Adding to 212105006011 its reverse (110600501212), we get a palindrome (322705507223).

The spelling of 212105006011 in words is "two hundred twelve billion, one hundred five million, six thousand, eleven".