212212110111101 has 16 divisors (see below), whose sum is σ = 230176384663680. Its totient is φ = 194856894328320.

The previous prime is 212212110111083. The next prime is 212212110111137. The reversal of 212212110111101 is 101111011212212.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-212212110111101 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

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 212212110111101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212212110111151) 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 15 ways as a sum of consecutive naturals, for example, 345097430 + ... + 345711816.

It is an arithmetic number, because the mean of its divisors is an integer number (14386024041480).

Almost surely, 2^{212212110111101} is an apocalyptic number.

It is an amenable number.

212212110111101 is a deficient number, since it is larger than the sum of its proper divisors (17964274552579).

212212110111101 is a wasteful number, since it uses less digits than its factorization.

212212110111101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1110004.

The product of its (nonzero) digits is 16, while the sum is 17.

Adding to 212212110111101 its reverse (101111011212212), we get a palindrome (313323121323313).

The spelling of 212212110111101 in words is "two hundred twelve trillion, two hundred twelve billion, one hundred ten million, one hundred eleven thousand, one hundred one".