10440212122133 has 2 divisors, whose sum is σ = 10440212122134. Its totient is φ = 10440212122132.

The previous prime is 10440212122097. The next prime is 10440212122159. The reversal of 10440212122133 is 33122121204401.

It is a happy number.

It is an a-pointer prime, because the next prime (10440212122159) can be obtained adding 10440212122133 to its sum of digits (26).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6223193804689 + 4217018317444 = 2494633^2 + 2053538^2 .

It is an emirp because it is prime and its reverse (33122121204401) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10440212122133 - 2⁶ = 10440212122069 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10440212122183) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5220106061066 + 5220106061067.

It is an arithmetic number, because the mean of its divisors is an integer number (5220106061067).

Almost surely, 2^{10440212122133} is an apocalyptic number.

It is an amenable number.

10440212122133 is a deficient number, since it is larger than the sum of its proper divisors (1).

10440212122133 is an equidigital number, since it uses as much as digits as its factorization.

10440212122133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 10440212122133 its reverse (33122121204401), we get a palindrome (43562333326534).

The spelling of 10440212122133 in words is "ten trillion, four hundred forty billion, two hundred twelve million, one hundred twenty-two thousand, one hundred thirty-three".