102002331302101 has 2 divisors, whose sum is σ = 102002331302102. Its totient is φ = 102002331302100.

The previous prime is 102002331302057. The next prime is 102002331302141. The reversal of 102002331302101 is 101203133200201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 56131172821476 + 45871158480625 = 7492074^2 + 6772825^2 .

It is an emirp because it is prime and its reverse (101203133200201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 102002331302101 - 2²⁷ = 102002197084373 is a prime.

It is a super-2 number, since 2×102002331302101² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102002331302141) 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, 51001165651050 + 51001165651051.

It is an arithmetic number, because the mean of its divisors is an integer number (51001165651051).

Almost surely, 2^{102002331302101} is an apocalyptic number.

It is an amenable number.

102002331302101 is a deficient number, since it is larger than the sum of its proper divisors (1).

102002331302101 is an equidigital number, since it uses as much as digits as its factorization.

102002331302101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 102002331302101 its reverse (101203133200201), we get a palindrome (203205464502302).

The spelling of 102002331302101 in words is "one hundred two trillion, two billion, three hundred thirty-one million, three hundred two thousand, one hundred one".