2112211110133 has 2 divisors, whose sum is σ = 2112211110134. Its totient is φ = 2112211110132.

The previous prime is 2112211110011. The next prime is 2112211110179. The reversal of 2112211110133 is 3310111122112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1674275547844 + 437935562289 = 1293938^2 + 661767^2 .

It is a cyclic number.

It is not a de Polignac number, because 2112211110133 - 2²⁹ = 2111674239221 is a prime.

It is a super-2 number, since 2×2112211110133² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2112211110133.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2112211110533) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1056105555066 + 1056105555067.

It is an arithmetic number, because the mean of its divisors is an integer number (1056105555067).

Almost surely, 2^{2112211110133} is an apocalyptic number.

It is an amenable number.

2112211110133 is a deficient number, since it is larger than the sum of its proper divisors (1).

2112211110133 is an equidigital number, since it uses as much as digits as its factorization.

2112211110133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 19.

Adding to 2112211110133 its reverse (3310111122112), we get a palindrome (5422322232245).

The spelling of 2112211110133 in words is "two trillion, one hundred twelve billion, two hundred eleven million, one hundred ten thousand, one hundred thirty-three".