2111121111193 has 2 divisors, whose sum is σ = 2111121111194. Its totient is φ = 2111121111192.

The previous prime is 2111121111181. The next prime is 2111121111259. The reversal of 2111121111193 is 3911111211112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1843178223769 + 267942887424 = 1357637^2 + 517632^2 .

It is a cyclic number.

It is not a de Polignac number, because 2111121111193 - 2³³ = 2102531176601 is a prime.

It is a super-2 number, since 2×2111121111193² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2111121111163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1055560555596 + 1055560555597.

It is an arithmetic number, because the mean of its divisors is an integer number (1055560555597).

Almost surely, 2^{2111121111193} is an apocalyptic number.

It is an amenable number.

2111121111193 is a deficient number, since it is larger than the sum of its proper divisors (1).

2111121111193 is an equidigital number, since it uses as much as digits as its factorization.

2111121111193 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 108, while the sum is 25.

The spelling of 2111121111193 in words is "two trillion, one hundred eleven billion, one hundred twenty-one million, one hundred eleven thousand, one hundred ninety-three".