10202210001133 has 2 divisors, whose sum is σ = 10202210001134. Its totient is φ = 10202210001132.

The previous prime is 10202210001131. The next prime is 10202210001157. The reversal of 10202210001133 is 33110001220201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9416907415204 + 785302585929 = 3068698^2 + 886173^2 .

It is a cyclic number.

It is not a de Polignac number, because 10202210001133 - 2¹ = 10202210001131 is a prime.

It is a super-2 number, since 2×10202210001133² (a number of 27 digits) contains 22 as substring.

Together with 10202210001131, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10202210001131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5101105000566 + 5101105000567.

It is an arithmetic number, because the mean of its divisors is an integer number (5101105000567).

Almost surely, 2^{10202210001133} is an apocalyptic number.

It is an amenable number.

10202210001133 is a deficient number, since it is larger than the sum of its proper divisors (1).

10202210001133 is an equidigital number, since it uses as much as digits as its factorization.

10202210001133 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 16.

Adding to 10202210001133 its reverse (33110001220201), we get a palindrome (43312211221334).

The spelling of 10202210001133 in words is "ten trillion, two hundred two billion, two hundred ten million, one thousand, one hundred thirty-three".