100202022222233 has 2 divisors, whose sum is σ = 100202022222234. Its totient is φ = 100202022222232.

The previous prime is 100202022222193. The next prime is 100202022222259. The reversal of 100202022222233 is 332222220202001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 92116939431049 + 8085082791184 = 9597757^2 + 2843428^2 .

It is a cyclic number.

It is not a de Polignac number, because 100202022222233 - 2²⁸ = 100201753786777 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100202022222199 and 100202022222208.

It is not a weakly prime, because it can be changed into another prime (100202022822233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50101011111116 + 50101011111117.

It is an arithmetic number, because the mean of its divisors is an integer number (50101011111117).

Almost surely, 2^{100202022222233} is an apocalyptic number.

It is an amenable number.

100202022222233 is a deficient number, since it is larger than the sum of its proper divisors (1).

100202022222233 is an equidigital number, since it uses as much as digits as its factorization.

100202022222233 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 23.

Adding to 100202022222233 its reverse (332222220202001), we get a palindrome (432424242424234).

The spelling of 100202022222233 in words is "one hundred trillion, two hundred two billion, twenty-two million, two hundred twenty-two thousand, two hundred thirty-three".