111102111222121 has 2 divisors, whose sum is σ = 111102111222122. Its totient is φ = 111102111222120.

The previous prime is 111102111222073. The next prime is 111102111222127. The reversal of 111102111222121 is 121222111201111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 104715598828096 + 6386512394025 = 10233064^2 + 2527155^2 .

It is an emirp because it is prime and its reverse (121222111201111) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 111102111222121 - 2¹⁵ = 111102111189353 is a prime.

It is not a weakly prime, because it can be changed into another prime (111102111222127) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55551055611060 + 55551055611061.

It is an arithmetic number, because the mean of its divisors is an integer number (55551055611061).

Almost surely, 2^{111102111222121} is an apocalyptic number.

It is an amenable number.

111102111222121 is a deficient number, since it is larger than the sum of its proper divisors (1).

111102111222121 is an equidigital number, since it uses as much as digits as its factorization.

111102111222121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 19.

Adding to 111102111222121 its reverse (121222111201111), we get a palindrome (232324222423232).

The spelling of 111102111222121 in words is "one hundred eleven trillion, one hundred two billion, one hundred eleven million, two hundred twenty-two thousand, one hundred twenty-one".