10111102121233 has 2 divisors, whose sum is σ = 10111102121234. Its totient is φ = 10111102121232.

The previous prime is 10111102121179. The next prime is 10111102121243. The reversal of 10111102121233 is 33212120111101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7165938163329 + 2945163957904 = 2676927^2 + 1716148^2 .

It is a cyclic number.

It is not a de Polignac number, because 10111102121233 - 2³⁷ = 9973663167761 is a prime.

It is a super-2 number, since 2×10111102121233² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10111102121233.

It is not a weakly prime, because it can be changed into another prime (10111102121243) 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, 5055551060616 + 5055551060617.

It is an arithmetic number, because the mean of its divisors is an integer number (5055551060617).

Almost surely, 2^{10111102121233} is an apocalyptic number.

It is an amenable number.

10111102121233 is a deficient number, since it is larger than the sum of its proper divisors (1).

10111102121233 is an equidigital number, since it uses as much as digits as its factorization.

10111102121233 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 19.

Adding to 10111102121233 its reverse (33212120111101), we get a palindrome (43323222232334).

The spelling of 10111102121233 in words is "ten trillion, one hundred eleven billion, one hundred two million, one hundred twenty-one thousand, two hundred thirty-three".