2133222112081 has 2 divisors, whose sum is σ = 2133222112082. Its totient is φ = 2133222112080.

The previous prime is 2133222111949. The next prime is 2133222112103. The reversal of 2133222112081 is 1802112223312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1642639539025 + 490582573056 = 1281655^2 + 700416^2 .

It is a cyclic number.

It is not a de Polignac number, because 2133222112081 - 2⁹ = 2133222111569 is a prime.

It is a super-2 number, since 2×2133222112081² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2133222112181) 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, 1066611056040 + 1066611056041.

It is an arithmetic number, because the mean of its divisors is an integer number (1066611056041).

Almost surely, 2^{2133222112081} is an apocalyptic number.

It is an amenable number.

2133222112081 is a deficient number, since it is larger than the sum of its proper divisors (1).

2133222112081 is an equidigital number, since it uses as much as digits as its factorization.

2133222112081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2304, while the sum is 28.

Adding to 2133222112081 its reverse (1802112223312), we get a palindrome (3935334335393).

The spelling of 2133222112081 in words is "two trillion, one hundred thirty-three billion, two hundred twenty-two million, one hundred twelve thousand, eighty-one".