102102002201093 has 2 divisors, whose sum is σ = 102102002201094. Its totient is φ = 102102002201092.

The previous prime is 102102002201077. The next prime is 102102002201113. The reversal of 102102002201093 is 390102200201201.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 69692743775524 + 32409258425569 = 8348218^2 + 5692913^2 .

It is a cyclic number.

It is not a de Polignac number, because 102102002201093 - 2⁴ = 102102002201077 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102102002201063) 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, 51051001100546 + 51051001100547.

It is an arithmetic number, because the mean of its divisors is an integer number (51051001100547).

Almost surely, 2^{102102002201093} is an apocalyptic number.

It is an amenable number.

102102002201093 is a deficient number, since it is larger than the sum of its proper divisors (1).

102102002201093 is an equidigital number, since it uses as much as digits as its factorization.

102102002201093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 23.

Adding to 102102002201093 its reverse (390102200201201), we get a palindrome (492204202402294).

The spelling of 102102002201093 in words is "one hundred two trillion, one hundred two billion, two million, two hundred one thousand, ninety-three".