212111101 has 2 divisors, whose sum is σ = 212111102. Its totient is φ = 212111100.

The previous prime is 212111099. The next prime is 212111111. The reversal of 212111101 is 101111212.

It is an a-pointer prime, because the next prime (212111111) can be obtained adding 212111101 to its sum of digits (10).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 159896025 + 52215076 = 12645^2 + 7226^2 .

It is a cyclic number.

It is not a de Polignac number, because 212111101 - 2¹ = 212111099 is a prime.

It is a super-2 number, since 2×212111101² = 89982238334864402, which contains 22 as substring.

Together with 212111099, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212111111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106055550 + 106055551.

It is an arithmetic number, because the mean of its divisors is an integer number (106055551).

Almost surely, 2^212111101 is an apocalyptic number.

It is an amenable number.

212111101 is a deficient number, since it is larger than the sum of its proper divisors (1).

212111101 is an equidigital number, since it uses as much as digits as its factorization.

212111101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4, while the sum is 10.

The square root of 212111101 is about 14564.0345028430. The cubic root of 212111101 is about 596.3773388235.

Adding to 212111101 its reverse (101111212), we get a palindrome (313222313).

It can be divided in two parts, 212111 and 101, that added together give a palindrome (212212).

The spelling of 212111101 in words is "two hundred twelve million, one hundred eleven thousand, one hundred one".