2121111193 has 2 divisors, whose sum is σ = 2121111194. Its totient is φ = 2121111192.

The previous prime is 2121111191. The next prime is 2121111217. The reversal of 2121111193 is 3911111212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2114896144 + 6215049 = 45988^2 + 2493^2 .

It is a cyclic number.

It is not a de Polignac number, because 2121111193 - 2¹ = 2121111191 is a prime.

It is a super-2 number, since 2×2121111193² = 8998225386139766498, which contains 22 as substring.

Together with 2121111191, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (2121111191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1060555596 + 1060555597.

It is an arithmetic number, because the mean of its divisors is an integer number (1060555597).

Almost surely, 2^2121111193 is an apocalyptic number.

It is an amenable number.

2121111193 is a deficient number, since it is larger than the sum of its proper divisors (1).

2121111193 is an equidigital number, since it uses as much as digits as its factorization.

2121111193 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 108, while the sum is 22.

The square root of 2121111193 is about 46055.5229369942. The cubic root of 2121111193 is about 1284.8560640609.

The spelling of 2121111193 in words is "two billion, one hundred twenty-one million, one hundred eleven thousand, one hundred ninety-three".