10200211120193 has 2 divisors, whose sum is σ = 10200211120194. Its totient is φ = 10200211120192.

The previous prime is 10200211120163. The next prime is 10200211120223. The reversal of 10200211120193 is 39102111200201.

10200211120193 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (10200211120163) and next prime (10200211120223).

It can be written as a sum of positive squares in only one way, i.e., 6617303497744 + 3582907622449 = 2572412^2 + 1892857^2 .

It is a cyclic number.

It is not a de Polignac number, because 10200211120193 - 2¹⁴ = 10200211103809 is a prime.

It is not a weakly prime, because it can be changed into another prime (10200211120153) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5100105560096 + 5100105560097.

It is an arithmetic number, because the mean of its divisors is an integer number (5100105560097).

Almost surely, 2^{10200211120193} is an apocalyptic number.

It is an amenable number.

10200211120193 is a deficient number, since it is larger than the sum of its proper divisors (1).

10200211120193 is an equidigital number, since it uses as much as digits as its factorization.

10200211120193 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 216, while the sum is 23.

Adding to 10200211120193 its reverse (39102111200201), we get a palindrome (49302322320394).

The spelling of 10200211120193 in words is "ten trillion, two hundred billion, two hundred eleven million, one hundred twenty thousand, one hundred ninety-three".