102110120010193 has 2 divisors, whose sum is σ = 102110120010194. Its totient is φ = 102110120010192.

The previous prime is 102110120010097. The next prime is 102110120010259. The reversal of 102110120010193 is 391010021011201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 102109650724624 + 469285569 = 10104932^2 + 21663^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102110120010193 is a prime.

It is a super-3 number, since 3×102110120010193³ (a number of 43 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (102110120013193) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51055060005096 + 51055060005097.

It is an arithmetic number, because the mean of its divisors is an integer number (51055060005097).

Almost surely, 2^{102110120010193} is an apocalyptic number.

It is an amenable number.

102110120010193 is a deficient number, since it is larger than the sum of its proper divisors (1).

102110120010193 is an equidigital number, since it uses as much as digits as its factorization.

102110120010193 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 22.

Adding to 102110120010193 its reverse (391010021011201), we get a palindrome (493120141021394).

The spelling of 102110120010193 in words is "one hundred two trillion, one hundred ten billion, one hundred twenty million, ten thousand, one hundred ninety-three".