102133110222233 has 2 divisors, whose sum is σ = 102133110222234. Its totient is φ = 102133110222232.

The previous prime is 102133110222167. The next prime is 102133110222281. The reversal of 102133110222233 is 332222011331201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 94578484171609 + 7554626050624 = 9725147^2 + 2748568^2 .

It is a cyclic number.

It is not a de Polignac number, because 102133110222233 - 2²⁴ = 102133093445017 is a prime.

It is a super-3 number, since 3×102133110222233³ (a number of 43 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (102133113222233) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51066555111116 + 51066555111117.

It is an arithmetic number, because the mean of its divisors is an integer number (51066555111117).

Almost surely, 2^{102133110222233} is an apocalyptic number.

It is an amenable number.

102133110222233 is a deficient number, since it is larger than the sum of its proper divisors (1).

102133110222233 is an equidigital number, since it uses as much as digits as its factorization.

102133110222233 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 102133110222233 its reverse (332222011331201), we get a palindrome (434355121553434).

The spelling of 102133110222233 in words is "one hundred two trillion, one hundred thirty-three billion, one hundred ten million, two hundred twenty-two thousand, two hundred thirty-three".