2010102010193 has 2 divisors, whose sum is σ = 2010102010194. Its totient is φ = 2010102010192.

The previous prime is 2010102010183. The next prime is 2010102010229. The reversal of 2010102010193 is 3910102010102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1604711299984 + 405390710209 = 1266772^2 + 636703^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2010102010193 is a prime.

It is not a weakly prime, because it can be changed into another prime (2010102010123) 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, 1005051005096 + 1005051005097.

It is an arithmetic number, because the mean of its divisors is an integer number (1005051005097).

Almost surely, 2^{2010102010193} is an apocalyptic number.

It is an amenable number.

2010102010193 is a deficient number, since it is larger than the sum of its proper divisors (1).

2010102010193 is an equidigital number, since it uses as much as digits as its factorization.

2010102010193 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 2010102010193 its reverse (3910102010102), we get a palindrome (5920204020295).

The spelling of 2010102010193 in words is "two trillion, ten billion, one hundred two million, ten thousand, one hundred ninety-three".