1022111022133 has 2 divisors, whose sum is σ = 1022111022134. Its totient is φ = 1022111022132.

The previous prime is 1022111022089. The next prime is 1022111022139. The reversal of 1022111022133 is 3312201112201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 759559311729 + 262551710404 = 871527^2 + 512398^2 .

It is an emirp because it is prime and its reverse (3312201112201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1022111022133 - 2³³ = 1013521087541 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1022111022133.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1022111022139) 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, 511055511066 + 511055511067.

It is an arithmetic number, because the mean of its divisors is an integer number (511055511067).

Almost surely, 2^{1022111022133} is an apocalyptic number.

It is an amenable number.

1022111022133 is a deficient number, since it is larger than the sum of its proper divisors (1).

1022111022133 is an equidigital number, since it uses as much as digits as its factorization.

1022111022133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 1022111022133 its reverse (3312201112201), we get a palindrome (4334312134334).

The spelling of 1022111022133 in words is "one trillion, twenty-two billion, one hundred eleven million, twenty-two thousand, one hundred thirty-three".