10102200110033 has 2 divisors, whose sum is σ = 10102200110034. Its totient is φ = 10102200110032.

The previous prime is 10102200109979. The next prime is 10102200110077. The reversal of 10102200110033 is 33001100220101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8783772570049 + 1318427539984 = 2963743^2 + 1148228^2 .

It is a cyclic number.

It is not a de Polignac number, because 10102200110033 - 2²⁰ = 10102199061457 is a prime.

It is a super-3 number, since 3×10102200110033³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (10102200110333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5051100055016 + 5051100055017.

It is an arithmetic number, because the mean of its divisors is an integer number (5051100055017).

Almost surely, 2^{10102200110033} is an apocalyptic number.

It is an amenable number.

10102200110033 is a deficient number, since it is larger than the sum of its proper divisors (1).

10102200110033 is an equidigital number, since it uses as much as digits as its factorization.

10102200110033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 10102200110033 its reverse (33001100220101), we get a palindrome (43103300330134).

The spelling of 10102200110033 in words is "ten trillion, one hundred two billion, two hundred million, one hundred ten thousand, thirty-three".