111212111100121 has 2 divisors, whose sum is σ = 111212111100122. Its totient is φ = 111212111100120.

The previous prime is 111212111100107. The next prime is 111212111100161. The reversal of 111212111100121 is 121001111212111.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 110078601667225 + 1133509432896 = 10491835^2 + 1064664^2 .

It is a cyclic number.

It is not a de Polignac number, because 111212111100121 - 2⁵ = 111212111100089 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 111212111100095 and 111212111100104.

It is not a weakly prime, because it can be changed into another prime (111212111100161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55606055550060 + 55606055550061.

It is an arithmetic number, because the mean of its divisors is an integer number (55606055550061).

Almost surely, 2^{111212111100121} is an apocalyptic number.

It is an amenable number.

111212111100121 is a deficient number, since it is larger than the sum of its proper divisors (1).

111212111100121 is an equidigital number, since it uses as much as digits as its factorization.

111212111100121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8, while the sum is 16.

Adding to 111212111100121 its reverse (121001111212111), we get a palindrome (232213222312232).

The spelling of 111212111100121 in words is "one hundred eleven trillion, two hundred twelve billion, one hundred eleven million, one hundred thousand, one hundred twenty-one".