10122221103133 has 2 divisors, whose sum is σ = 10122221103134. Its totient is φ = 10122221103132.

The previous prime is 10122221103097. The next prime is 10122221103143. The reversal of 10122221103133 is 33130112222101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9288219284964 + 834001818169 = 3047658^2 + 913237^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10122221103133 is a prime.

It is a super-2 number, since 2×10122221103133² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10122221103143) 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, 5061110551566 + 5061110551567.

It is an arithmetic number, because the mean of its divisors is an integer number (5061110551567).

Almost surely, 2^{10122221103133} is an apocalyptic number.

It is an amenable number.

10122221103133 is a deficient number, since it is larger than the sum of its proper divisors (1).

10122221103133 is an equidigital number, since it uses as much as digits as its factorization.

10122221103133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 10122221103133 its reverse (33130112222101), we get a palindrome (43252333325234).

The spelling of 10122221103133 in words is "ten trillion, one hundred twenty-two billion, two hundred twenty-one million, one hundred three thousand, one hundred thirty-three".