102210112933 has 2 divisors, whose sum is σ = 102210112934. Its totient is φ = 102210112932.

The previous prime is 102210112883. The next prime is 102210112943. The reversal of 102210112933 is 339211012201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 59279101729 + 42931011204 = 243473^2 + 207198^2 .

It is a cyclic number.

It is not a de Polignac number, because 102210112933 - 2²⁵ = 102176558501 is a prime.

It is a super-3 number, since 3×102210112933³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 102210112898 and 102210112907.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102210112943) 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, 51105056466 + 51105056467.

It is an arithmetic number, because the mean of its divisors is an integer number (51105056467).

Almost surely, 2^102210112933 is an apocalyptic number.

It is an amenable number.

102210112933 is a deficient number, since it is larger than the sum of its proper divisors (1).

102210112933 is an equidigital number, since it uses as much as digits as its factorization.

102210112933 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 25.

The spelling of 102210112933 in words is "one hundred two billion, two hundred ten million, one hundred twelve thousand, nine hundred thirty-three".