10202212012133 has 2 divisors, whose sum is σ = 10202212012134. Its totient is φ = 10202212012132.

The previous prime is 10202212012093. The next prime is 10202212012271. The reversal of 10202212012133 is 33121021220201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7236438943969 + 2965773068164 = 2690063^2 + 1722142^2 .

It is a cyclic number.

It is not a de Polignac number, because 10202212012133 - 2¹⁰ = 10202212011109 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10202212012033) 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, 5101106006066 + 5101106006067.

It is an arithmetic number, because the mean of its divisors is an integer number (5101106006067).

Almost surely, 2^{10202212012133} is an apocalyptic number.

It is an amenable number.

10202212012133 is a deficient number, since it is larger than the sum of its proper divisors (1).

10202212012133 is an equidigital number, since it uses as much as digits as its factorization.

10202212012133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 10202212012133 its reverse (33121021220201), we get a palindrome (43323233232334).

The spelling of 10202212012133 in words is "ten trillion, two hundred two billion, two hundred twelve million, twelve thousand, one hundred thirty-three".