212100111101 has 2 divisors, whose sum is σ = 212100111102. Its totient is φ = 212100111100.

The previous prime is 212100111059. The next prime is 212100111109. The reversal of 212100111101 is 101111001212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 167092912900 + 45007198201 = 408770^2 + 212149^2 .

It is a cyclic number.

It is not a de Polignac number, because 212100111101 - 2¹⁰ = 212100110077 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212100111109) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106050055550 + 106050055551.

It is an arithmetic number, because the mean of its divisors is an integer number (106050055551).

Almost surely, 2^212100111101 is an apocalyptic number.

It is an amenable number.

212100111101 is a deficient number, since it is larger than the sum of its proper divisors (1).

212100111101 is an equidigital number, since it uses as much as digits as its factorization.

212100111101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 212100111101 its reverse (101111001212), we get a palindrome (313211112313).

The spelling of 212100111101 in words is "two hundred twelve billion, one hundred million, one hundred eleven thousand, one hundred one".