102210112133 has 2 divisors, whose sum is σ = 102210112134. Its totient is φ = 102210112132.

The previous prime is 102210112051. The next prime is 102210112177. The reversal of 102210112133 is 331211012201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 98083591489 + 4126520644 = 313183^2 + 64238^2 .

It is an emirp because it is prime and its reverse (331211012201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 102210112133 - 2¹⁶ = 102210046597 is a prime.

It is a super-3 number, since 3×102210112133³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102210112933) 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, 51105056066 + 51105056067.

It is an arithmetic number, because the mean of its divisors is an integer number (51105056067).

Almost surely, 2^102210112133 is an apocalyptic number.

It is an amenable number.

102210112133 is a deficient number, since it is larger than the sum of its proper divisors (1).

102210112133 is an equidigital number, since it uses as much as digits as its factorization.

102210112133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 102210112133 its reverse (331211012201), we get a palindrome (433421124334).

The spelling of 102210112133 in words is "one hundred two billion, two hundred ten million, one hundred twelve thousand, one hundred thirty-three".