22102022212133 has 2 divisors, whose sum is σ = 22102022212134. Its totient is φ = 22102022212132.

The previous prime is 22102022212117. The next prime is 22102022212177. The reversal of 22102022212133 is 33121222020122.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 16653565250884 + 5448456961249 = 4080878^2 + 2334193^2 .

It is a cyclic number.

It is not a de Polignac number, because 22102022212133 - 2⁴ = 22102022212117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 22102022212099 and 22102022212108.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22102022272133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11051011106066 + 11051011106067.

It is an arithmetic number, because the mean of its divisors is an integer number (11051011106067).

Almost surely, 2^{22102022212133} is an apocalyptic number.

It is an amenable number.

22102022212133 is a deficient number, since it is larger than the sum of its proper divisors (1).

22102022212133 is an equidigital number, since it uses as much as digits as its factorization.

22102022212133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 22102022212133 its reverse (33121222020122), we get a palindrome (55223244232255).

The spelling of 22102022212133 in words is "twenty-two trillion, one hundred two billion, twenty-two million, two hundred twelve thousand, one hundred thirty-three".