10000102210193 has 2 divisors, whose sum is σ = 10000102210194. Its totient is φ = 10000102210192.

The previous prime is 10000102210171. The next prime is 10000102210249. The reversal of 10000102210193 is 39101220100001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8544911156224 + 1455191053969 = 2923168^2 + 1206313^2 .

It is a cyclic number.

It is not a de Polignac number, because 10000102210193 - 2²⁴ = 10000085432977 is a prime.

It is not a weakly prime, because it can be changed into another prime (10000102210123) 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, 5000051105096 + 5000051105097.

It is an arithmetic number, because the mean of its divisors is an integer number (5000051105097).

Almost surely, 2^{10000102210193} is an apocalyptic number.

It is an amenable number.

10000102210193 is a deficient number, since it is larger than the sum of its proper divisors (1).

10000102210193 is an equidigital number, since it uses as much as digits as its factorization.

10000102210193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 20.

Adding to 10000102210193 its reverse (39101220100001), we get a palindrome (49101322310194).

The spelling of 10000102210193 in words is "ten trillion, one hundred two million, two hundred ten thousand, one hundred ninety-three".