2111112122033 has 2 divisors, whose sum is σ = 2111112122034. Its totient is φ = 2111112122032.

The previous prime is 2111112121997. The next prime is 2111112122057. The reversal of 2111112122033 is 3302212111112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1567033283344 + 544078838689 = 1251812^2 + 737617^2 .

It is a cyclic number.

It is not a de Polignac number, because 2111112122033 - 2¹⁰ = 2111112121009 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2111112121996 and 2111112122014.

It is not a weakly prime, because it can be changed into another prime (2111112121033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1055556061016 + 1055556061017.

It is an arithmetic number, because the mean of its divisors is an integer number (1055556061017).

Almost surely, 2^{2111112122033} is an apocalyptic number.

It is an amenable number.

2111112122033 is a deficient number, since it is larger than the sum of its proper divisors (1).

2111112122033 is an equidigital number, since it uses as much as digits as its factorization.

2111112122033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 2111112122033 its reverse (3302212111112), we get a palindrome (5413324233145).

The spelling of 2111112122033 in words is "two trillion, one hundred eleven billion, one hundred twelve million, one hundred twenty-two thousand, thirty-three".