102210113130233 has 2 divisors, whose sum is σ = 102210113130234. Its totient is φ = 102210113130232.

The previous prime is 102210113130193. The next prime is 102210113130241. The reversal of 102210113130233 is 332031311012201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 55180651143424 + 47029461986809 = 7428368^2 + 6857803^2 .

It is a cyclic number.

It is not a de Polignac number, because 102210113130233 - 2¹⁸ = 102210112868089 is a prime.

It is a super-3 number, since 3×102210113130233³ (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102210113130199 and 102210113130208.

It is not a weakly prime, because it can be changed into another prime (102210113130253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51105056565116 + 51105056565117.

It is an arithmetic number, because the mean of its divisors is an integer number (51105056565117).

Almost surely, 2^{102210113130233} is an apocalyptic number.

It is an amenable number.

102210113130233 is a deficient number, since it is larger than the sum of its proper divisors (1).

102210113130233 is an equidigital number, since it uses as much as digits as its factorization.

102210113130233 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 102210113130233 its reverse (332031311012201), we get a palindrome (434241424142434).

The spelling of 102210113130233 in words is "one hundred two trillion, two hundred ten billion, one hundred thirteen million, one hundred thirty thousand, two hundred thirty-three".