10201112020193 has 2 divisors, whose sum is σ = 10201112020194. Its totient is φ = 10201112020192.

The previous prime is 10201112020189. The next prime is 10201112020277. The reversal of 10201112020193 is 39102021110201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8792102661904 + 1409009358289 = 2965148^2 + 1187017^2 .

It is a cyclic number.

It is not a de Polignac number, because 10201112020193 - 2² = 10201112020189 is a prime.

It is a super-2 number, since 2×10201112020193² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10201112020123) 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, 5100556010096 + 5100556010097.

It is an arithmetic number, because the mean of its divisors is an integer number (5100556010097).

Almost surely, 2^{10201112020193} is an apocalyptic number.

It is an amenable number.

10201112020193 is a deficient number, since it is larger than the sum of its proper divisors (1).

10201112020193 is an equidigital number, since it uses as much as digits as its factorization.

10201112020193 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 23.

Adding to 10201112020193 its reverse (39102021110201), we get a palindrome (49303133130394).

The spelling of 10201112020193 in words is "ten trillion, two hundred one billion, one hundred twelve million, twenty thousand, one hundred ninety-three".