102200102132069 has 2 divisors, whose sum is σ = 102200102132070. Its totient is φ = 102200102132068.

The previous prime is 102200102132003. The next prime is 102200102132071. The reversal of 102200102132069 is 960231201002201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 72552490950625 + 29647611181444 = 8517775^2 + 5444962^2 .

It is an emirp because it is prime and its reverse (960231201002201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 102200102132069 - 2¹⁶ = 102200102066533 is a prime.

It is a super-2 number, since 2×102200102132069² (a number of 29 digits) contains 22 as substring.

Together with 102200102132071, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102200102132369) 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, 51100051066034 + 51100051066035.

It is an arithmetic number, because the mean of its divisors is an integer number (51100051066035).

Almost surely, 2^{102200102132069} is an apocalyptic number.

It is an amenable number.

102200102132069 is a deficient number, since it is larger than the sum of its proper divisors (1).

102200102132069 is an equidigital number, since it uses as much as digits as its factorization.

102200102132069 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 29.

The spelling of 102200102132069 in words is "one hundred two trillion, two hundred billion, one hundred two million, one hundred thirty-two thousand, sixty-nine".